Small Scale Stability: Gradient Systems

Related lectures (31)

Page 3 of 4

Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.

Explains convergence, limits, bounded sequences, and the Bolzano-Weierstrass theorem in real numbers.

Explores Stable Estimator of Dynamical Systems (SEDS) for robots, covering stability, modeling, optimization, and limitations.

Covers the harmonic responses of systems to non-harmonic signals.

Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Discusses stability analysis of equilibrium points in dynamical systems.

Covers extreme values of continuous functions on compact sets and differentiability.

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

Explores stability, reachability, and controllability in linear systems, emphasizing their significance in system analysis.