NOC:Nonlinear Dynamical Systems and Control

Lecture 1 - Introduction - Part 1

Lecture 2 - Introduction - Part 2

Lecture 3 - Ordinary Differential Equations - Part 1

Lecture 4 - Ordinary Differential Equations - Part 2

Lecture 5 - ODE Solutions via Examples

Lecture 6 - Solutions to ODEs

Lecture 7 - Existence and Uniqueness Theorems

Lecture 8 - Asymptotic Behaviour of Dynamical Systems - Part 1

Lecture 9 - Asymptotic Behaviour of Dynamical Systems - Part 2

Lecture 10 - Asymptotic Behaviour of Dynamical Systems - Part 3

Lecture 11 - Stability Theory: Definitions - Part 1

Lecture 12 - Stability Theory: Definitions - Part 2

Lecture 13 - Stability Theory: Lyapunov Methods - Part 1

Lecture 14 - Stability Theory: Lyapunov Methods - Part 2

Lecture 15 - Lyapunov Function Examples

Lecture 16 - LaSalle's Invariance Theorem

Lecture 17 - Stability Theory: Converse Lyapunov and Instability Theorems

Lecture 18 - Solved Problems - Part 1

Lecture 19 - Solved Problems - Part 2

Lecture 20 - Linear Systems - Part 1

Lecture 21 - Linear Systems - Part 2

Lecture 22 - Linearization of Nonlinear Systems

Lecture 23 - Linear Systems and Linearization: Solved Problems - Part 1

Lecture 24 - Linear Systems and Linearization: Solved Problems - Part 2

Lecture 25 - Nonlinear Analysis: Key Concepts and Results - Part 1

Lecture 26 - Nonlinear Analysis: Key Concepts and Results - Part 2

Lecture 27 - Construction of Lyapunov Functions - Part 1

Lecture 28 - Construction of Lyapunov Functions - Part 2

Lecture 29 - Futher Topics - Part 1

Lecture 30 - Futher Topics - Part 2

Lecture 31 - Introduction to Robust Stability

Lecture 32 - Robust Stability for Structured Uncertainty - Part 1

Lecture 33 - Robust Stability for Structured Uncertainty - Part 2

Lecture 34 - Robust Stability for Structured Uncertainty - Part 3

Lecture 35 - The Absolute Stability (Lure) Problem

Lecture 36 - Robust Stability: A Solved Problem

Lecture 37 - Dissipativity Theory - Part 1

Lecture 38 - Dissipativity Theory - Part 2

Lecture 39 - Dissipativity: Solved Problems

Lecture 40 - Feedback Interconnection of Dissipative Systems - Part 1

Lecture 41 - Feedback Interconnection of Dissipative Systems - Part 2

Lecture 42 - Stable Adaptive Control - Part 1

Lecture 43 - Stable Adaptive Control - Part 2

Lecture 44 - Examples and Generalizations - Part 1

Lecture 45 - Examples and Generalizations - Part 2

Lecture 46 - Optimization - Part 1

Lecture 47 - Optimization - Part 2

Lecture 48 - Functional Optimization - Part 1

Lecture 49 - Functional Optimization - Part 2

Lecture 50 - Optimal Control - Part 1

Lecture 51 - Optimal Control - Part 2

Lecture 52 - Optimal Control - Part 3

Lecture 53 - Stability Margins of Feedback Controllers

Lecture 54 - Control Lyapunov Functions

Lecture 55 - Disturbance Rejection - Part 1

Lecture 56 - Disturbance Rejection - Part 2

Lecture 57 - Revisition through Solved Problems - I

Lecture 58 - Revisition through Solved Problems - I (Continued...)

Lecture 59 - Revision through Solved Problems II

Lecture 60 - Revision through Solved Problems III - Part 1

Lecture 61 - Revision through Solved Problems III - Part 2

Lecture 62 - Assorted Topics: Highlights - Part 1

Lecture 63 - Assorted Topics: Highlights - Part 2