Lecture

Stability of LTI Systems: Equilibria and Lyapunov Theory

In course

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Description

This lecture covers the review of linear discrete-time systems, Lyapunov theory, equilibria of LTI systems, stability analysis, Lyapunov stability theory, stability properties, stability test through eigenvalues, and Lyapunov theorems. The instructor discusses the concepts of equilibrium states, stability, asymptotic stability, instability, and exponential stability, emphasizing the importance of eigenvalues in determining system stability.

Instructor

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Official source

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Mathematics

Algebra: Linear algebra

Information engineering

Control theory and engineering: Control theory

Systems science and engineering

Systems theory: Chaos theory

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