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Zbl 1238.93090
Zhang, Dan; Yu, Li
Exponential stability analysis for neutral switched systems with interval time-varying mixed delays and nonlinear perturbations. (English)
[J] Nonlinear Anal., Hybrid Syst. 6, No. 2, 775-786 (2012). ISSN 1751-570X

Summary: This paper is concerned with the problem of exponential stability for uncertain neutral switched systems with interval time-varying mixed delays and nonlinear perturbations. By using the average dwell time approach and the piecewise Lyapunov functional technique, some sufficient conditions are first proposed in terms of a set of Linear Matrix Inequalities (LMIs), to guarantee the robustly exponential stability for the uncertain neutral switched systems, where the decay estimate is explicitly given to quantify the convergence rate. Three numerical examples finally illustrate the effectiveness of the proposed method.

MSC 2000:: *93D20 Asymptotic stability of control systems
93C15 Control systems governed by ODE
34K10 Boundary value problems for functional-differential equations
93C73 Perturbations in control systems

Keywords: switched neutral systems; exponential stability; delay dependent; linear matrix inequalities (LMIs); nonlinear perturbation

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