6533b860fe1ef96bd12c2f58

RESEARCH PRODUCT

Stability analysis of neutral systems with mixed time-varying delays and nonlinear perturbations

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In this paper, the problem of stability analysis for a class of neutral systems with mixed time-varying neutral, discrete and distributed delays and nonlinear perturbations are addressed. By introducing a novel Lyapunov-Krasovskii functional and combining the descriptor model transformation, the Leibniz-Newton formula, some free weighting matrices and a suitable change of variables, new sufficient conditions are established for the stability of the considered system, which are neutral-delay-dependent, discrete-delay-range-dependent and distributed-delay-dependent. The conditions are presented in terms of linear matrix inequalities (LMIs) and can be easily solved by existing convex optimization techniques. A numerical example is given to demonstrate the less conservatism of the proposed results over some existence results in the literature.