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Zbl 1146.93366
Yu, Ker-Wei; Lien, Chang-Hua
Stability criteria for uncertain neutral systems with interval time-varying delays. (English)
[J] Chaos Solitons Fractals 38, No. 3, 650-657 (2008). ISSN 0960-0779

Summary: This paper investigates asymptotic stability problem for neutral system with interval time-varying delays and two classes of uncertainties. Delay-dependent and delay-independent criteria are proposed to guarantee the asymptotic stability for our considered systems. Lyapunov-Krasovskii functional and Leibniz-Newton formula are applied to find the delay-dependent stability results. Linear matrix inequality (LMI) approach is used to solve the proposed conditions. Finally, some numerical examples are illustrated to show the improvement of this paper.

MSC 2000:: *93D09 Robust stability of control systems
34K20 Stability theory of functional-differential equations
34K40 Neutral equations

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Zentralblatt MATH Berlin [Germany]