Lectures related to Lyapunov Stability and Linearization

Explores linearization, state representations, and stability analysis using Lyapunov theory and zero dynamics.

Covers the concept of balanced realization in the SISO case, focusing on system observability and controllability.

Explores the stability of Ordinary Differential Equations, focusing on solution dependence, critical data, linearization, and control of nonlinear systems.

Introduction to Nonlinear Systems Control

Covers the analysis and control of nonlinear systems, including methods like phase plan and passivity.

SISO Polynomial Controllers: Sylvester Matrix, Internal Model Principle

Covers the design of SISO polynomial controllers using concepts such as the Sylvester matrix and model matching.

Circle Criterion: Stability and Nonlinearity

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

Nonlinear Dynamics: Stability and Chaos

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

Advanced Numerical Analysis: Space Discretization

Explores advanced space discretization techniques in numerical analysis for solving differential systems efficiently and accurately.

Stability of LTI Systems: Equilibria and Lyapunov Theory

Covers equilibria, stability analysis, and Lyapunov theory in linear systems, focusing on eigenvalues and stability properties.

Stability and State Feedback

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

Exact Linearization: Earth Dynamics and Stabilization

Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.

Controllability and Observability

Covers controllability and observability in linear systems, discussing necessary conditions and implications of unimodular matrices.

Lyapunov Stability Analysis

Covers Lyapunov stability analysis, focusing on Lyapunov functions and stability criteria in robotic systems.

Linear Systems: Continuous Time

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

Introduction to Dynamical System

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

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.

Finite Element Method: Basics and Applications

Covers the basics of the Finite Element Method for solid and structural modeling.

Stability in Feedback Systems

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

Discrete-time Systems and Lyapunov Theory

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