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Course Syllabus
  • Mod-01 Lec-35 Dynamical systems on manifolds-2
  • Mod-01 Lec-34 Dynamical systems on manifolds-1
  • Mod-01 Lec-33 Ideal relay with Hysteresis and dead zone
  • Mod-01 Lec-32 Describing functions for nonlinearities
  • Mod-01 Lec-31 Describing functions:sufficient conditions for existence of periodic orbits
  • Mod-01 Lec-30 Describing function : Jump Hysteresis
  • Mod-01 Lec-10 Bendixson criterion and Poincare-Bendixson criterion.Ex:Lotka Volterra predator prey
  • Mod-01 Lec-29 Describing : optimal gain
  • Nonlinear Dynamical Systems by Prof. Harish K. Pillai and Prof. Madhu N.Belur,Department of Electric
  • Mod-01 Lec-20 Kalman-Yakubovich-Popov Lemma/theorem and memoryless nonlinearities
  • Mod-01 Lec-09 LaSalle's Invariance principle, Barbashin and Krasovski theorems, periodic orbits
  • Mod-01 Lec-28 Describing : optimal gain
  • Mod-01 Lec-19 Definition for positive realness and Kalman Yakubovich-Popov Theorem
  • Mod-01 Lec-08 Extension of Lyapunov's Theorem in different contexts
  • Mod-01 Lec-27 Describing Function :2
  • Mod-01 Lec-18 Positive real lemma proof
  • Mod-01 Lec-07 Lyapunov theorem on stability
  • Mod-01 Lec-17 Passive filters, Dissipation equality, positive real lemma
  • Mod-01 Lec-26 Describing function method
  • Mod-01 Lec-06 Existence uniqueness of solutions to differential equations
  • Mod-01 Lec-16 Interconnection between linear system & non-linearity, passive filters
  • Mod-01 Lec-25 Popov criterion continuous, frequency-domain theorem
  • Mod-01 Lec-05 Existence uniqueness theorems
  • Mod-01 Lec-15 Nyquist plots and Nyquist criterion for stability
  • Mod-01 Lec-24 Popov criterion continuous, frequency-domain theorem
  • Mod-01 Lec-04 Lipschitz Functions
  • Mod-01 Lec-14 Norms of signals, systems (operators), Finite gain L2 stable
  • Mod-01 Lec-23 Limit cycles
  • Mod-01 Lec-03 Classification of Equilibrium points
  • Mod-01 Lec-13 Signals, operators
  • Mod-01 Lec-02 First Order systems
  • Mod-01 Lec-22 Nonlinearities based on circle criterion
  • Mod-01 Lec-21 Loop tranformations and circle criterion
  • Mod-01 Lec-11 Bendixson and Poincare-Bendixson criteria van-der-Pol Oscillator
  • Mod-01 Lec-01 Introduction

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