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Lecture
Discrete-time Systems and Lyapunov Theory
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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.
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 Eigenvalues of LTI Systems
Explores stability and eigenvalues of LTI systems, reachability, and controllability of dynamical systems.
Stability of LTI Systems: Equilibria and Lyapunov Theory
Covers equilibria, stability analysis, and Lyapunov theory in linear systems, focusing on eigenvalues and stability properties.
Numerical Analysis: Stability in ODEs
Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.
Introduction to Dynamical System
Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.
Stability and Reachability in Multivariable Control
Explores stability, reachability, and controllability in linear systems, emphasizing their significance in system analysis.
LTI Systems Properties
Covers the properties of Linear Time-Invariant (LTI) systems and their implications.
Reachability and Controllability of LTI Systems
Explores reachability and controllability of LTI systems, discussing testing methods, properties, definitions, and their relationship.
Z-Transforms: Poles and Zeros
Explores Z-Transforms, Poles, Zeros, and their applications in discrete-time systems and Linear Time-Invariant systems.
