Stability of LTI Systems: Equilibria and Lyapunov Theory

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Explores linear systems' equilibria, stability, and modes, including Lyapunov stability and exponential stability.

Explores stability in linear 2D systems, covering fixed points, vector fields, and phase portraits.

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

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

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

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

Explores equilibria and stability analysis in multivariable control systems, focusing on eigenvalues and system modes.

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

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.