Lyapunov Stability and Linearization

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

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

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

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

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

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

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

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

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

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