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Electrical Eng.
Nonlinear Dynamical Systems
Lecture# 18
'L18-Positive real lemma proof' Video Lecture
L18-Positive real lemma proof
Course
:
Nonlinear Dynamical Systems
Discipline
:
Electrical Engineering
Faculty
: Prof. Harish K. Pillai, Prof. Madhu N.Belur
Institute
:
IIT Bombay
L18-Positive real lemma proof
- Browse through
Nonlinear Dynamical Systems (Electrical Engineering)
Video Lectures by
Prof. Harish K. Pillai, Prof. Madhu N.Belur
from
IIT Bombay
through NPTEL.
Course
:
Nonlinear Dynamical Systems
Discipline
:
Electrical Engineering
Faculty
: Prof. Harish K. Pillai, Prof. Madhu N.Belur
Institute
:
IIT Bombay
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Course Video Lectures
L1-Introduction
L2-First Order systems
L3-Classification of Equilibrium points
L4-Lipschitz Functions
L5-Existence/uniqueness theorems
L6-Existence/uniqueness of solutions to diffe..
L7-Lyapunov theorem on stability
L8-Extension of Lyapunov's Theorem in differe..
L9-LaSalle's Invariance principle, Barbashin ..
L10-Bendixson criterion and Poincare-Bendixso..
L11-Bendixson and Poincare-Bendixson criteria..
L12-Scilab simulation of Lotka Volterra preda..
L13-Signals, operators
L14-Norms of signals, systems (operators), Fi..
L15-Nyquist plots and Nyquist criterion for s..
L16-Interconnection between linear system & n..
L17-Passive filters, Dissipation equality, po..
L18-Positive real lemma proof
L19- Definition for positive realness and Kal..
L20-Kalman-Yakubovich-Popov Lemma/theorem and..
L21-Loop tranformations and circle criterion
L22-Nonlinearities based on circle criterion
L23-Limit cycles
L24-Popov criterion continuous, frequency-dom..
L25-Popov criterion continuous, frequency-dom..
L26-Describing function method
L27-Describing Function :2
L28-Describing : optimal gain
L29-Describing : optimal gain
L30-Describing function : Jump Hysteresis
L31-Describing functions : sufficient conditi..
L32-Describing functions for nonlinearities
L33-Ideal relay with Hysteresis and dead zone
L34-Dynamical systems on manifolds-1
L35-Dynamical systems on manifolds-2
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