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Stability criteria for neutral uncertain systems with time-varying delays

Abstract This paper is concerned with the delay-dependent robust stability problem for uncertain linear systems with time-varying delays. In order to establish a new delay-dependent criterion for asymptotic stability and robust stability of the systems, a Lyapunov-Krasovskii functional coupled with the Leibniz-Newton formula and an integral inequality approach are introduced to express the relationship between system states and their derivatives. The sufficient stability condition with delay dependence is obtained in terms of a linear matrix inequality (LMI). The LMI can be easily solved using convex optimization algorithms. Two examples are given to illustrate the advantages of the proposed method.