7: Lyapunov’s Method and the LaSalle Invariance Principle

Ordinary Differential Equations · LibreTexts

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    • 7.1: Lyapunov’s Method and the LaSalle Invariance Principle
      We will next learn a method for determining stability of equilibria which may be applied when stability information obtained from the linearization of the ODE is not sufficient for determining stability information for the nonlinear ODE. This is Lyapunov’s method (or Lyapunov’s second method, or the method of Lyapunov functions).
    • 7.2: Problem Set

    This page titled 7: Lyapunov’s Method and the LaSalle Invariance Principle was last modified on Sat, 02 Jan 2021 09:48:34 GMT and is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Stephen Wiggins via source content that was edited to the style and standards of the LibreTexts platform.