Concept
Lyapunov function
Related lectures (50)
Lyapunov Stability: Convex Optimization
Covers Lyapunov stability in convex optimization and its implementation through trajectory plots.
Lyapunov Stability in Simple Pendulum
Explores Lyapunov stability theory in the context of a simple pendulum system, demonstrating its application and implications.
Nonlinear Dynamics: Stability and Chaos
Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.
Introduction to Dynamical System
Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.
Lyapunov Methods: Stability Analysis
Explores Lyapunov methods for analyzing stability in nonlinear control systems using functions and mechanical analogies.
Dynamical Systems: Equilibrium Points and Stability
Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.
Lyapunov Stability: Theory and Applications
Covers the Lyapunov stability theory and its applications in analyzing dynamical systems.
Circle Criterion: Stability and Nonlinearity
Covers the concept of passivity in linear systems and the circle criterion for absolute stability.
Small Scale Stability: Gradient Systems
Explores small scale stability in gradient systems, analyzing trajectories and attractors in phase space.
Lyapunov II: Stability and Invariance
Explores Lyapunov stability and invariance of dynamical systems through examples and corollaries.