Lyapunov Stability and Linearization

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Page 3 of 4

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

Covers small scale stability conditions and asymptotic behavior around fixed points.

Explores fixed points and their stability in dynamic systems, emphasizing linear stability analysis.

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

Explores Lyapunov methods for analyzing stability in nonlinear control systems using functions and mechanical analogies.

Explores Lyapunov stability analysis, demonstrating stability determination and function calculation for control systems.

Covers dynamic systems, trajectories, growth models, stability of fixed points, and linearization of models.

Explores the stability of periodic solutions in continuous-time systems using the logistic map and the van der Pol oscillator.

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

Discusses stability analysis of equilibrium points in dynamical systems.