Abstract

Abstract. Although published in the first part of the twentieth century, Finsler's Lemma has shown to be a very attractive mathematical tool to treat stability of linear systems only recently. It is shown in this paper how this tool may be used to reformulate delay-independent stability conditions for neutral linear time-delay systems. The conditions allow, in particular, to construct parameter-dependent Lyapunov-Krasovskii functions for uncertain polytopic neutral systems. Extensions to stabilization problems can also be derived.

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