The Lyapunov method is one of the most powerful methods for analysis of stability. However, from the practical viewpoint, there is no method to construct a Lyapunov function applicable to systems in general.
This paper presents the Lyapunov function that is determined by a polytope and which is suitable for computer generation of Lyapunov functions since neither a special form of function nor the number of parameters to be chosen need be given in advance. Moreover, the estimate of the stability regio…
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