Lyapunov II: Stability and Invariance

Related lectures (32)

Page 3 of 4

Covers small scale stability at equilibrium points in dynamical systems for engineers.

Explores Chaos Theory through Discrete Dynamical Systems and the Arnold's Cat Map.

Explores chaotic maps, fix points, stability, and Lyapunov exponents in discrete systems, emphasizing their role in determining chaos.

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

Covers trajectory, solution, and orbit of dynamical systems for engineers.

Covers the concept of large scale stability in dynamical systems.

Covers the concept of compact embedding in Banach spaces and Sobolev inequalities.

Explores large scale stability in dynamical systems, emphasizing non-increasing trajectories and strict decrease of a specific function.

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

Explores Chaos Theory, focusing on the logistic map, periodic orbits, and stability conditions.