Modules / Lectures


Sl.No Chapter Name MP4 Download
1L1-IntroductionDownload
2L2-First Order systemsDownload
3L3-Classification of Equilibrium pointsDownload
4L4-Lipschitz FunctionsDownload
5L5-Existence/uniqueness theoremsDownload
6L6-Existence/uniqueness of solutions to differential equationsDownload
7L7-Lyapunov theorem on stabilityDownload
8L8-Extension of Lyapunov's Theorem in different contextsDownload
9L9-LaSalle's Invariance principle, Barbashin and Krasovski theorems, periodic orbitsDownload
10L10-Bendixson criterion and Poincare-Bendixson criterion. Example: Lotka Volterra predator prey modelDownload
11L11-Bendixson and Poincare-Bendixson criteria van-der-Pol OscillatorDownload
12L12-Scilab simulation of Lotka Volterra predator prey model, van-der-Pol Oscillator Review of linearization, operating point/ operating trajectoryDownload
13L13-Signals, operatorsDownload
14L14-Norms of signals, systems (operators), Finite gain L2 stableDownload
15L15-Nyquist plots and Nyquist criterion for stabilityDownload
16L16-Interconnection between linear system & non-linearity, passive filtersDownload
17L17-Passive filters, Dissipation equality, positive real lemmaDownload
18L18-Positive real lemma proofDownload
19L19- Definition for positive realness and Kalman Yakubovich-Popov TheoremDownload
20L20-Kalman-Yakubovich-Popov Lemma/theorem and memoryless nonlinearitiesDownload
21L21-Loop tranformations and circle criterionDownload
22L22-Nonlinearities based on circle criterionDownload
23L23-Limit cyclesDownload
24L24-Popov criterion continuous, frequency-domain theoremDownload
25L25-Popov criterion continuous, frequency-domain theoremDownload
26L26-Describing function methodDownload
27L27-Describing Function :2Download
28L28-Describing : optimal gainDownload
29L29-Describing : optimal gainDownload
30L30-Describing function : Jump HysteresisDownload
31L31-Describing functions : sufficient conditions for existence of periodic orbits non existence of periodic orbitsDownload
32L32-Describing functions for nonlinearitiesDownload
33L33-Ideal relay with Hysteresis and dead zoneDownload
34L34-Dynamical systems on manifolds-1Download
35L35-Dynamical systems on manifolds-2Download

Sl.No Chapter Name English
1L1-IntroductionDownload
Verified
2L2-First Order systemsDownload
Verified
3L3-Classification of Equilibrium pointsDownload
Verified
4L4-Lipschitz FunctionsDownload
Verified
5L5-Existence/uniqueness theoremsDownload
Verified
6L6-Existence/uniqueness of solutions to differential equationsDownload
Verified
7L7-Lyapunov theorem on stabilityDownload
Verified
8L8-Extension of Lyapunov's Theorem in different contextsDownload
Verified
9L9-LaSalle's Invariance principle, Barbashin and Krasovski theorems, periodic orbitsDownload
Verified
10L10-Bendixson criterion and Poincare-Bendixson criterion. Example: Lotka Volterra predator prey modelDownload
Verified
11L11-Bendixson and Poincare-Bendixson criteria van-der-Pol OscillatorDownload
Verified
12L12-Scilab simulation of Lotka Volterra predator prey model, van-der-Pol Oscillator Review of linearization, operating point/ operating trajectoryDownload
Verified
13L13-Signals, operatorsDownload
Verified
14L14-Norms of signals, systems (operators), Finite gain L2 stableDownload
Verified
15L15-Nyquist plots and Nyquist criterion for stabilityDownload
Verified
16L16-Interconnection between linear system & non-linearity, passive filtersDownload
Verified
17L17-Passive filters, Dissipation equality, positive real lemmaDownload
Verified
18L18-Positive real lemma proofDownload
Verified
19L19- Definition for positive realness and Kalman Yakubovich-Popov TheoremDownload
Verified
20L20-Kalman-Yakubovich-Popov Lemma/theorem and memoryless nonlinearitiesDownload
Verified
21L21-Loop tranformations and circle criterionDownload
Verified
22L22-Nonlinearities based on circle criterionDownload
Verified
23L23-Limit cyclesDownload
Verified
24L24-Popov criterion continuous, frequency-domain theoremDownload
Verified
25L25-Popov criterion continuous, frequency-domain theoremDownload
Verified
26L26-Describing function methodDownload
Verified
27L27-Describing Function :2Download
Verified
28L28-Describing : optimal gainDownload
Verified
29L29-Describing : optimal gainDownload
Verified
30L30-Describing function : Jump HysteresisDownload
Verified
31L31-Describing functions : sufficient conditions for existence of periodic orbits non existence of periodic orbitsDownload
Verified
32L32-Describing functions for nonlinearitiesDownload
Verified
33L33-Ideal relay with Hysteresis and dead zoneDownload
Verified
34L34-Dynamical systems on manifolds-1Download
Verified
35L35-Dynamical systems on manifolds-2Download
Verified


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