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Lyapunov Function

A function which is continuous, nonnegative, and has continuous Partial Derivatives. The existence of a Lyapunov function guarantees the Nonlinear Stability of a Fixed Point.


Jordan, D. W. and Smith, P. Nonlinear Ordinary Differential Equations. Oxford, England: Clarendon Press, p. 283, 1977.

© 1996-9 Eric W. Weisstein