All Downhill From Here
Read OriginalThis blog article, part of a graduate seminar on Feedback, Learning, and Adaptation, details Lyapunov's two methods for analyzing the stability of dynamical systems. It contrasts the method of linearization with the method of potential functions (Lyapunov's direct method), explaining how the latter uses an energy-like function to prove convergence to a fixed point, shifting the challenge from proof to finding the correct certificate.
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