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Concept

Lyapunov function

Related lectures (32)

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

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

Covers exercises on the Lyapunov method in non-linear control systems, focusing on stability analysis and Lyapunov functions.

Covers equilibria, stability analysis, and Lyapunov theory in linear systems, focusing on eigenvalues and stability properties.

Explores Lyapunov stability, LQR theorems, and discounted LQR in multivariable control.

Covers Lyapunov exponents, chaos measurement, and perturbation analysis in dynamical systems.

Explores Lyapunov stability theory in the context of a simple pendulum system, demonstrating its application and implications.

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

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

Covers the convergence of high-order PDEs using ADI-type integrators for parabolic problems.

Explores multivariable control, optimal laws, and system stability theorems, emphasizing the importance of observability.

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

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 learning and adaptive control for robots through SEDS and LPV-DS, emphasizing stability, non-linear dynamics, and optimization.

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

Covers the Lyapunov stability theory and its applications in analyzing dynamical systems.

Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.

Explores Lyapunov stability and invariance of dynamical systems through examples and corollaries.

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