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Exponential stability analysis for uncertain switched neutral systems with interval-time-varying state delay. (English) Zbl 1192.34085
Summary: The global exponential stability for a class of switched neutral systems with interval-time-varying state delay and two classes of perturbations is investigated in this paper. LMI-based delay-dependent and delay-independent criteria are proposed to guarantee exponential stability for our considered systems under any switched signal. The Razumikhin-like approach and the Leibniz-Newton formula are used to find the stability conditions. Structured and unstructured uncertainties are studied in this paper. Finally, some numerical examples are illustrated to show the improved results from using this method.

MSC:
34K20 Stability theory of functional-differential equations
34K40 Neutral functional-differential equations
34A36 Discontinuous ordinary differential equations
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