Learn · Nonlinear Dynamical Systems and Control
Lecture 4 of 63Week 1
Ordinary Differential Equations - Part 2
Prof. Vijaysekhar Chellaboina · IIT Madras
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- Nonlinear Dynamical Systems and Control, IIT Madras (at NPTEL)
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All the lectures
- Introduction - Part 1
- Introduction - Part 2
- Ordinary Differential Equations - Part 1
- Ordinary Differential Equations - Part 2
- ODE Solutions via Examples
- Solutions to ODEs
- Existence and Uniqueness Theorems
- Asymptotic Behaviour of Dynamical Systems: Part 1
- Asymptotic Behaviour of Dynamical Systems: Part 2
- Asymptotic Behaviour of Dynamical Systems: Part 3
- Stability Theory: Definitions - Part 1
- Stability Theory: Definitions - Part 2
- Stability Theory: Lyapunov Methods - Part 1
- Stability Theory: Lyapunov Methods - Part 2
- Lyapunov Function Examples
- LaSalle's Invariance Theorem
- Stability Theory: Converse Lyapunov & Instability Theorems
- Solved Problems - Part 1
- Solved Problems - Part 2
- Linear Systems - Part 1
- Linear Systems - Part 2
- Linearization of Nonlinear Systems
- Linear Systems & Linearization: Solved Problems - Part 1
- Linear Systems & Linearization: Solved Problems - Part 2
- Nonlinear Analysis: Key Concepts and Results - Part 1
- Nonlinear Analysis: Key Concepts and Results - Part 2
- Construction of Lyapunov Functions - Part 1
- Construction of Lyapunov Functions - Part 2
- Futher Topics - Part 1
- Futher Topics - Part 2
- Introduction to Robust Stability
- Robust Stability for Structured Uncertainty - Part 1
- Robust Stability for Structured Uncertainty - Part 2
- Robust Stability for Structured Uncertainty - Part 3
- The Absolute Stability (Lure) Problem
- Robust Stability: A Solved Problem
- Dissipativity Theory - Part 1
- Dissipativity Theory - Part 2
- Dissipativity: Solved Problems
- Feedback Interconnection of Dissipative Systems - Part 1
- Feedback Interconnection of Dissipative Systems - Part 2
- Stable Adaptive Control - Part 1
- Stable Adaptive Control - Part 2
- Examples & Generalizations - Part 1
- Examples & Generalizations - Part 2
- Optimization - Part 1
- Optimization - Part 2
- Functional Optimization - Part 1
- Functional Optimization - Part 2
- Optimal Control - Part 1
- Optimal Control - Part 2
- Optimal Feedback Control
- Stability Margins of Feedback Controllers
- Control Lyapunov Functions
- Disturbance Rejection - Part 1
- Disturbance Rejection - Part 2
- Revisition through Solved Problems I
- Revisition through Solved Problems I(Continued)
- Revision through Solved Problems II
- Revision through Solved Problems III - Part 1
- Revision through Solved Problems III - Part 2
- Assorted Topics: Highlights - Part 1
- Assorted Topics: Highlights - Part 2