Math 2.0

concept

Lyapunov function

Summary

A Lyapunov function for an equilibrium of a differential equation is a scalar function with three properties. It is zero at the equilibrium, positive away from it, and non-increasing along solutions. Its existence proves stability without solving the equation. It is named after Aleksandr Lyapunov. See the definition.

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  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

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Sources

  1. Web https://en.wikipedia.org/wiki/Lyapunov_function, lead section

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Definitions