Lectures related to Stability of LTI Systems: Equilibria and Lyapunov Theory

Linear Systems: Equilibria and Stability

Explores linear systems' equilibria, stability, and modes, including Lyapunov stability and exponential stability.

Linear Systems in 2D: Stability

Explores stability in linear 2D systems, covering fixed points, vector fields, and phase portraits.

Circle Criterion: Stability and Nonlinearity

Covers the concept of passivity in linear systems and the circle criterion for absolute stability.

Linear Systems: Continuous Time

Covers linear systems in continuous time, stability analysis, and mass-spring system examples.

Linear Systems: Stability and Solutions

Explores stability and solutions of linear systems in continuous and discrete time.

Nonlinear Dynamics: Stability and Chaos

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

Multivariable Control: Equilibria and Stability Analysis

Explores equilibria and stability analysis in multivariable control systems, focusing on eigenvalues and system modes.

Networked Control Systems: Stability Analysis and Estimation

Covers the analysis and estimation of stability in networked control systems, including the impact of sampling intervals and delays.

Lyapunov Stability Theory: Energy Functions and Stability Analysis

Covers Lyapunov stability theory, energy functions, positive-definite matrices, and system stability analysis through examples and theorems.

Stability and Reachability in Multivariable Control

Explores stability, reachability, and controllability in linear systems, emphasizing their significance in system analysis.

Stability Analysis: Linear Systems

Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.

Discrete-time Systems and Lyapunov Theory

Covers the review of linear discrete-time systems and Lyapunov theory, focusing on stability and equilibria.

Stability and State Feedback

Covers BIBO stability, Lyapunov stability, state feedback, and eigenvalue assignment.

Passivity, Stability and Circle Criterion

Covers passivity, absolute stability, and the circle criterion in linear systems with feedback.

1st Harmonic: Stability and Adaptation

Covers stability, adaptation, Nyquist criterion, and predicting limit cycle existence.

Stability in Feedback Systems

Explores BIBO stability in feedback systems, covering criteria, Nyquist criterion, and system sampling impact.

Stability and Eigenvalues of LTI Systems

Explores stability and eigenvalues of LTI systems, reachability, and controllability of dynamical systems.

Networked Control Systems: Fundamentals and Stability Analysis

Covers the fundamentals and stability analysis of Networked Control Systems, including software installation, dynamical systems, equilibrium states, and stability testing.

Introduction to Dynamical System

Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.

Nyquist Introduction

Introduces the Nyquist criterion to determine system stability and covers BIBO stability and stability conditions.