A novel result on stability analysis for uncertain neutral stochastic time-varying delay systems

Generalized Finsler lemma is applied to deduce delay-dependent stability conditions.The case is considered that the discrete delay is different from the neutral delay.Model transformation, cross-terms estimation and free-weighting matrices are avoided.The conditions show less conservatism and involves fewer computational variables.Numerical examples show that the proposed approach improves some existing ones. This paper is concerned with the mean-square exponential stability analysis for uncertain neutral linear stochastic time-varying delay systems. By Lyapunov-Krasovskii theory and linear matrix inequality method, under the generalized Finsler lemma (GFL) framework, delay-dependent mean-square exponential stability criteria are established without involving model transformation, cross-terms bounding technique or additional free-weighting matrix. Moreover, GFL is also employed to obtain stability criteria for a class of uncertain linear stochastic neutral systems with different discrete and neutral delays. Numerical examples are presented to verify that the proposed approach is both less conservative and less computationally complex than the existing results.

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