Abstract

A problem of constructing Lyapunov functions for nonlinear dynamical systems is considered. A method to construct the Lyapunov function via the construction of a polytope is proposed. The requirement that the polytope be balanced, which was assumed in previous analyses, is removed. This improvement reduces the conservatism in the stability analysis of nonlinear systems. An algorithm to construct a polytope is proposed. The authors give an example to demonstrate the usefulness of the result. >

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