Modules / Lectures

Sl.No Chapter Name English
1L1-IntroductionPDF unavailable
2L2-First Order systemsPDF unavailable
3L3-Classification of Equilibrium pointsPDF unavailable
4L4-Lipschitz FunctionsPDF unavailable
5L5-Existence/uniqueness theoremsPDF unavailable
6L6-Existence/uniqueness of solutions to differential equationsPDF unavailable
7L7-Lyapunov theorem on stabilityPDF unavailable
8L8-Extension of Lyapunov's Theorem in different contextsPDF unavailable
9L9-LaSalle's Invariance principle, Barbashin and Krasovski theorems, periodic orbitsPDF unavailable
10L10-Bendixson criterion and Poincare-Bendixson criterion. Example: Lotka Volterra predator prey modelPDF unavailable
11L11-Bendixson and Poincare-Bendixson criteria van-der-Pol OscillatorPDF unavailable
12L12-Scilab simulation of Lotka Volterra predator prey model, van-der-Pol Oscillator Review of linearization, operating point/ operating trajectoryPDF unavailable
13L13-Signals, operatorsPDF unavailable
14L14-Norms of signals, systems (operators), Finite gain L2 stablePDF unavailable
15L15-Nyquist plots and Nyquist criterion for stabilityPDF unavailable
16L16-Interconnection between linear system & non-linearity, passive filtersPDF unavailable
17L17-Passive filters, Dissipation equality, positive real lemmaPDF unavailable
18L18-Positive real lemma proofPDF unavailable
19L19- Definition for positive realness and Kalman Yakubovich-Popov TheoremPDF unavailable
20L20-Kalman-Yakubovich-Popov Lemma/theorem and memoryless nonlinearitiesPDF unavailable
21L21-Loop tranformations and circle criterionPDF unavailable
22L22-Nonlinearities based on circle criterionPDF unavailable
23L23-Limit cyclesPDF unavailable
24L24-Popov criterion continuous, frequency-domain theoremPDF unavailable
25L25-Popov criterion continuous, frequency-domain theoremPDF unavailable
26L26-Describing function methodPDF unavailable
27L27-Describing Function :2PDF unavailable
28L28-Describing : optimal gainPDF unavailable
29L29-Describing : optimal gainPDF unavailable
30L30-Describing function : Jump HysteresisPDF unavailable
31L31-Describing functions : sufficient conditions for existence of periodic orbits non existence of periodic orbitsPDF unavailable
32L32-Describing functions for nonlinearitiesPDF unavailable
33L33-Ideal relay with Hysteresis and dead zonePDF unavailable
34L34-Dynamical systems on manifolds-1PDF unavailable
35L35-Dynamical systems on manifolds-2PDF unavailable

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1EnglishNot Available
2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
5KannadaNot Available
6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
9TeluguNot Available