Lyapunov stability criterion

Lyapunov stability criterion

[lē′ap·ə‚nȯf stə′bil·əd·ē krī‚tir·ē·ən]
(control systems)
A method of determining the stability of systems (usually nonlinear) by examining the sign-definitive properties of an associated Lyapunov function.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The stability of the closed-loop system, under the influence of the adaptive fuzzy controller, is rigorously analyzed based on the fractional Lyapunov stability criterion. Furthermore, fractional adaptation laws are established to update the fuzzy parameters.
Besides, the global asymptotically stability condition of the disease-free equilibrium is obtained by the Routh-Hurwitz stability criterion and the Lyapunov stability criterion. And the condition of the system uniform persistence is also given.
Stability of the closed-loop system designed by the proposed RNDI control law is proven by a Lyapunov stability criterion.