'L8-Extension of Lyapunov's Theorem in different contexts' Video Lecture

L8-Extension of Lyapunov's Theorem in different contexts

  • Course: Nonlinear Dynamical Systems
  • Discipline: Electrical Engineering
  • Faculty: Prof. Harish K. Pillai, Prof. Madhu N.Belur
  • Institute: IIT Bombay

    • NEXT LECTURE >> L9-LaSalle's Invariance principle, Barbashin and Krasovski theorems, periodic orbits
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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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