Lyapunov function Guide, Meaning , Facts, Information and Description
In the theory of dynamical systems, and control theory, Lyapunov functions, named after Aleksandr Mikhailovich Lyapunov, are a family of functions that can be used to demonstrate the stability of some state points of a system.The demonstration of stability require finding a Lyapunov function for that system. Not finding one such function does not prove stability or instability, so nothing can be said. There is no direct way to obtain a Lyapunov function but there many tricks to simplify the task.
See also:
- Lyapunov Function from Wolfram's MathWorld .
- Lyapunov stability.
- Ordinary differential equations.
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