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Channel: 14

Electrical, Electronics and Communication & related branches
Subject / Branch : Electrical || Course : Nonlinear Dynamical Systems
No. Topic Faculty Name Time/Date/Video Day QR Code
1 L3-Classification of Equilibrium points Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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2 L3-Classification of Equilibrium points Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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3 L3-Classification of Equilibrium points Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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4 L3-Classification of Equilibrium points Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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5 L4-Lipschitz Functions Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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6 L4-Lipschitz Functions Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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7 Interconnection between linear system Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Sunday
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8 L6-Existence/uniqueness of solutions to
differential equations
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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9 Interconnection between linear system Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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10 L7-Lyapunov theorem on stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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11 Interconnection between linear system Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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12 L7-Lyapunov theorem on stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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13 Passive filters, Dissipation equality, positive
real lemma
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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14 L7-Lyapunov theorem on stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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15 Passive filters, Dissipation equality, positive
real lemma
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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16 L8-Extension of Lyapunov's Theorem in different
contexts
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay -
Friday
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17 L8-Extension of Lyapunov's Theorem in different
contexts
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay -
Saturday
-
18 L8-Extension of Lyapunov's Theorem in different
contexts
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay -
Monday
-
19 L9-LaSalle's Invariance principle, Barbashin and
Krasovski theorems, periodic orbits
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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20 L9-LaSalle's Invariance principle, Barbashin and
Krasovski theorems, periodic orbits
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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21 L9-LaSalle's Invariance principle, Barbashin and
Krasovski theorems, periodic orbits
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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22 L10-Bendixson criterion and Poincare-Bendixson
criterion. Example: Lotka Volterra predator prey
model
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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23 L10-Bendixson criterion and Poincare-Bendixson
criterion. Example: Lotka Volterra predator prey
model
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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24 L10-Bendixson criterion and Poincare-Bendixson
criterion. Example: Lotka Volterra predator prey
model
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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25 L11-Bendixson and Poincare-Bendixson criteria
van-der-Pol Oscillator
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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26 L12-Scilab simulation of Lotka Volterra predator
prey model, van-der-Pol Oscillator Review of
linearization,operating point/ operating
trajectory
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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27 L11-Bendixson and Poincare-Bendixson criteria
van-der-Pol Oscillator
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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28 L12-Scilab simulation of Lotka Volterra predator
prey model, van-der-Pol Oscillator Review of
linearization,operating point/ operating
trajectory
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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29 L11-Bendixson and Poincare-Bendixson criteria
van-der-Pol Oscillator
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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30 L12-Scilab simulation of Lotka Volterra predator
prey model, van-der-Pol Oscillator Review of
linearization,operating point/ operating
trajectory
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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31 L13-Signals, operators Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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32 L13-Signals, operators Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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33 L13-Signals, operators Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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34 Norms of signals, systems (operators), Finite gain
L2 stable
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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35 Norms of signals, systems (operators), Finite gain
L2 stable
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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36 Norms of signals, systems (operators), Finite gain
L2 stable
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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37 Nyquist plots and Nyquist criterion for stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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38 Nyquist plots and Nyquist criterion for stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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39 Nyquist plots and Nyquist criterion for stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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40 Interconnection between linear system Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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41 Interconnection between linear system Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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42 Interconnection between linear system Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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43 Passive filters, Dissipation equality, positive
real lemma
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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44 Passive filters, Dissipation equality, positive
real lemma
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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45 Passive filters, Dissipation equality, positive
real lemma
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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46 Positive real lemma proof Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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47 Positive real lemma proof Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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48 Positive real lemma proof Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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49 Definition for positive realness and Kalman
Yakubovich-Popov Theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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50 Definition for positive realness and Kalman
Yakubovich-Popov Theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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51 Definition for positive realness and Kalman
Yakubovich-Popov Theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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52 Kalman-Yakubovich-Popov Lemma_theorem and
memoryless nonlinearities
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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53 Kalman-Yakubovich-Popov Lemma_theorem and
memoryless nonlinearities
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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54 Kalman-Yakubovich-Popov Lemma_theorem and
memoryless nonlinearities
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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55 Loop tranformations and circle criterion Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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56 Loop tranformations and circle criterion Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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57 Loop tranformations and circle criterion Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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58 Nonlinearities based on circle criterion Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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59 Nonlinearities based on circle criterion Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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60 Nonlinearities based on circle criterion Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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61 Limit cycles Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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62 Limit cycles Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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63 Limit cycles Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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64 Popov criterion continuous, frequency-domain
theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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65 Nyquist plots and Nyquist criterion for stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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66 Popov criterion continuous, frequency-domain
theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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67 Popov criterion continuous, frequency-domain
theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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68 Popov criterion continuous, frequency-domain
theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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69 Popov criterion continuous, frequency-domain
theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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70 Popov criterion continuous, frequency-domain
theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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71 Describing function method Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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72 Describing function method Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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73 Describing function method Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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74 L27-Describing Function :2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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75 L27-Describing Function :2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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76 L27-Describing Function :2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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77 L28-Describing : optimal gain Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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78 L28-Describing : optimal gain Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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79 L28-Describing : optimal gain Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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80 L29-Describing : optimal gain Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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81 L29-Describing : optimal gain Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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82 L29-Describing : optimal gain Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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83 L30-Describing function : Jump Hysteresis Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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84 L30-Describing function : Jump Hysteresis Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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85 L30-Describing function : Jump Hysteresis Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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86 L31-Describing functions : sufficient conditions
for existence of periodic orbits non existence of
periodic orbits
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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87 L31-Describing functions : sufficient conditions
for existence of periodic orbits non existence of
periodic orbits
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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88 L31-Describing functions : sufficient conditions
for existence of periodic orbits non existence of
periodic orbits
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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89 L32-Describing functions for nonlinearities Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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90 L32-Describing functions for nonlinearities Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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91 L32-Describing functions for nonlinearities Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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92 L33-Ideal relay with Hysteresis and dead zone Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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93 L33-Ideal relay with Hysteresis and dead zone Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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94 L33-Ideal relay with Hysteresis and dead zone Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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95 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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96 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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97 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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98 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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99 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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100 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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101 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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102 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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103 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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104 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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105 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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106 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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107 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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108 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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109 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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110 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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111 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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112 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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113 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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114 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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115 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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116 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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117 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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118 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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119 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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120 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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121 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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122 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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123 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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124 L1-Introduction Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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125 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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126 L1-Introduction Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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127 L1-Introduction Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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128 L2-First Order systems Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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129 L2-First Order systems Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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130 L2-First Order systems Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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131 L3-Classification of Equilibrium points Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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132 L3-Classification of Equilibrium points Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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133 L3-Classification of Equilibrium points Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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134 L4-Lipschitz Functions Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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135 L4-Lipschitz Functions Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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136 L4-Lipschitz Functions Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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137 L5-Existence/uniqueness theorems Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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138 L5-Existence/uniqueness theorems Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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139 L5-Existence/uniqueness theorems Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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140 L6-Existence/uniqueness of solutions to
differential equations
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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141 L6-Existence/uniqueness of solutions to
differential equations
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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142 L6-Existence/uniqueness of solutions to
differential equations
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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143 L7-Lyapunov theorem on stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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144 L7-Lyapunov theorem on stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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145 L7-Lyapunov theorem on stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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146 L8-Extension of Lyapunov's Theorem in different
contexts
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay -
Thursday
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147 L8-Extension of Lyapunov's Theorem in different
contexts
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay -
Friday
-
148 L8-Extension of Lyapunov's Theorem in different
contexts
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay -
Saturday
-
149 L9-LaSalle's Invariance principle, Barbashin and
Krasovski theorems, periodic orbits
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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150 L9-LaSalle's Invariance principle, Barbashin and
Krasovski theorems, periodic orbits
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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151 L9-LaSalle's Invariance principle, Barbashin and
Krasovski theorems, periodic orbits
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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152 L10-Bendixson criterion and Poincare-Bendixson
criterion. Example: Lotka Volterra predator prey
model
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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153 L10-Bendixson criterion and Poincare-Bendixson
criterion. Example: Lotka Volterra predator prey
model
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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154 L10-Bendixson criterion and Poincare-Bendixson
criterion. Example: Lotka Volterra predator prey
model
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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155 L11-Bendixson and Poincare-Bendixson criteria
van-der-Pol Oscillator
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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156 L11-Bendixson and Poincare-Bendixson criteria
van-der-Pol Oscillator
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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157 L11-Bendixson and Poincare-Bendixson criteria
van-der-Pol Oscillator
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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158 L12-Scilab simulation of Lotka Volterra predator
prey model, van-der-Pol Oscillator Review of
linearization,operating point/ operating
trajectory
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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159 L12-Scilab simulation of Lotka Volterra predator
prey model, van-der-Pol Oscillator Review of
linearization,operating point/ operating
trajectory
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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160 L12-Scilab simulation of Lotka Volterra predator
prey model, van-der-Pol Oscillator Review of
linearization,operating point/ operating
trajectory
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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161 L13-Signals, operators Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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162 L13-Signals, operators Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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163 L13-Signals, operators Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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164 Norms of signals, systems (operators), Finite gain
L2 stable
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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165 Norms of signals, systems (operators), Finite gain
L2 stable
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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166 Norms of signals, systems (operators), Finite gain
L2 stable
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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167 Nyquist plots and Nyquist criterion for stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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168 Nyquist plots and Nyquist criterion for stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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169 Nyquist plots and Nyquist criterion for stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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170 Interconnection between linear system Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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171 Interconnection between linear system Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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172 Interconnection between linear system Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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173 Passive filters, Dissipation equality, positive
real lemma
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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174 Passive filters, Dissipation equality, positive
real lemma
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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175 Passive filters, Dissipation equality, positive
real lemma
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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176 Positive real lemma proof Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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177 Positive real lemma proof Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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178 Positive real lemma proof Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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179 Definition for positive realness and Kalman
Yakubovich-Popov Theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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180 Definition for positive realness and Kalman
Yakubovich-Popov Theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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181 Definition for positive realness and Kalman
Yakubovich-Popov Theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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182 Kalman-Yakubovich-Popov Lemma_theorem and
memoryless nonlinearities
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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183 Kalman-Yakubovich-Popov Lemma_theorem and
memoryless nonlinearities
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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184 Kalman-Yakubovich-Popov Lemma_theorem and
memoryless nonlinearities
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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185 Loop tranformations and circle criterion Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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186 Loop tranformations and circle criterion Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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187 Loop tranformations and circle criterion Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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188 Nonlinearities based on circle criterion Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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189 Nonlinearities based on circle criterion Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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190 Nonlinearities based on circle criterion Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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191 Limit cycles Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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192 Limit cycles Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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193 Limit cycles Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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194 Popov criterion continuous, frequency-domain
theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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195 Popov criterion continuous, frequency-domain
theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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196 Popov criterion continuous, frequency-domain
theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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197 Popov criterion continuous, frequency-domain
theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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198 Popov criterion continuous, frequency-domain
theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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199 Popov criterion continuous, frequency-domain
theorem
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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200 Describing function method Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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201 Describing function method Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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202 Describing function method Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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203 L27-Describing Function :2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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204 L27-Describing Function :2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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205 L27-Describing Function :2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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206 L28-Describing : optimal gain Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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207 L28-Describing : optimal gain Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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208 L28-Describing : optimal gain Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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209 L29-Describing : optimal gain Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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210 L29-Describing : optimal gain Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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211 L29-Describing : optimal gain Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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212 L30-Describing function : Jump Hysteresis Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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213 L30-Describing function : Jump Hysteresis Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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214 L30-Describing function : Jump Hysteresis Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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215 L31-Describing functions : sufficient conditions
for existence of periodic orbits non existence of
periodic orbits
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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216 L31-Describing functions : sufficient conditions
for existence of periodic orbits non existence of
periodic orbits
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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217 L31-Describing functions : sufficient conditions
for existence of periodic orbits non existence of
periodic orbits
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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218 L32-Describing functions for nonlinearities Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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219 L32-Describing functions for nonlinearities Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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220 L32-Describing functions for nonlinearities Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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221 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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222 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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223 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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224 L32-Describing functions for nonlinearities Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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225 L32-Describing functions for nonlinearities Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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226 L32-Describing functions for nonlinearities Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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227 L33-Ideal relay with Hysteresis and dead zone Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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228 L33-Ideal relay with Hysteresis and dead zone Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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229 L33-Ideal relay with Hysteresis and dead zone Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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230 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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231 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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232 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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233 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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234 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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235 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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236 L1-Introduction Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Sunday
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237 L2-First Order systems Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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238 L3-Classification of Equilibrium points Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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239 L4-Lipschitz Functions Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Sunday
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240 L5-Existence/uniqueness theorems Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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241 L6-Existence/uniqueness of solutions to
differential equations
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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242 L7-Lyapunov theorem on stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Sunday
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243 L8-Extension of Lyapunov's Theorem in different
contexts
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay -
Wednesday
-
244 L9-LaSalle's Invariance principle, Barbashin and
Krasovski theorems, periodic orbits
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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245 L10-Bendixson criterion and Poincare-Bendixson
criterion. Example: Lotka Volterra predator prey
model
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Sunday
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246 L11-Bendixson and Poincare-Bendixson criteria
van-der-Pol Oscillator
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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247 L12-Scilab simulation of Lotka Volterra predator
prey model, van-der-Pol Oscillator Review of
linearization,operating point/ operating
trajectory
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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248 L13-Signals, operators Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Sunday
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249 L1-Introduction Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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250 L1-Introduction Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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251 L1-Introduction Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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252 L2-First Order systems Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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253 L2-First Order systems Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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254 L2-First Order systems Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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255 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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256 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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257 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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258 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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259 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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260 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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261 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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262 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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263 L34-Dynamical systems on manifolds-1 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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264 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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265 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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266 L35-Dynamical systems on manifolds-2 Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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267 L3-Classification of Equilibrium points Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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268 L3-Classification of Equilibrium points Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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269 L3-Classification of Equilibrium points Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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270 L4-Lipschitz Functions Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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271 L4-Lipschitz Functions Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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272 L4-Lipschitz Functions Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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273 L5-Existence/uniqueness theorems Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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274 L5-Existence/uniqueness theorems Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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275 L5-Existence/uniqueness theorems Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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276 L6-Existence/uniqueness of solutions to
differential equations
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Thursday
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277 L6-Existence/uniqueness of solutions to
differential equations
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Friday
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278 L6-Existence/uniqueness of solutions to
differential equations
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Saturday
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279 L7-Lyapunov theorem on stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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280 L7-Lyapunov theorem on stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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281 L7-Lyapunov theorem on stability Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Wednesday
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282 L8-Extension of Lyapunov's Theorem in different
contexts
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay -
Thursday
-
283 L8-Extension of Lyapunov's Theorem in different
contexts
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay -
Friday
-
284 L8-Extension of Lyapunov's Theorem in different
contexts
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay -
Saturday
-
285 L9-LaSalle's Invariance principle, Barbashin and
Krasovski theorems, periodic orbits
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Monday
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286 L9-LaSalle's Invariance principle, Barbashin and
Krasovski theorems, periodic orbits
Prof. Madhu N.Belur ,Prof. Harish K. Pillai , IIT Bombay
Tuesday
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