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New delay-dependent robust exponential stability criteria of LPD neutral systems with mixed time-varying delays and nonlinear perturbations. (English) Zbl 1397.34138

Summary: This paper is concerned with the problem of robust exponential stability for linear parameter-dependent (LPD) neutral systems with mixed time-varying delays and nonlinear perturbations. Based on a new parameter-dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, decomposition technique of coefficient matrix, free-weighting matrices, Cauchy’s inequality, modified version of Jensen’s inequality, model transformation, and linear matrix inequality technique, new delay-dependent robust exponential stability criteria are established in terms of linear matrix inequalities (LMIs). Numerical examples are given to show the effectiveness and less conservativeness of the proposed methods.

MSC:

34K40 Neutral functional-differential equations
93D09 Robust stability
93D30 Lyapunov and storage functions
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