Non-linear Control: Stability Analysis

Related lectures (32)

Covers the properties of Linear Time-Invariant (LTI) systems and their implications.

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

Delves into Ruelle resonances for linear pseudo-Anosov maps, highlighting their importance in dynamical systems theory.

Introduces the Nyquist criterion to determine system stability and covers BIBO stability and stability conditions.

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

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

Explores stability and eigenvalues of LTI systems, reachability, and controllability of dynamical systems.

Covers the linearization method through two examples in process control.

Covers state-space control design, including state-feedback, observer, and linearization.

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

Covers linear systems, vector subspaces, and the kernel and image of linear applications.

Explores the properties of Linear Time-Invariant systems through impulse response and convolution sum.

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