On Exponential Stability for a Class of Uncertain Neutral Markovian Jump Systems with Mode‐Dependent Delays

Xinghua Liu and Hongsheng Xi

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: The exponential stability of neutral Markovian jump systems with interval mode‐dependent time‐varying delays, nonlinear perturbations, and partially known transition rates is investigated. A novel augmented stochastic Lyapunov functional is constructed, which employs the improved bounding technique and contains triple‐integral terms to reduce conservativeness; then the delay‐range‐dependent and rate‐dependent exponential stability criteria are developed by Lyapunov stability theory, reciprocally convex lemma, and free‐weighting matrices. The corresponding results are extended to the uncertain case. Finally, numerical examples are given to illustrate the effectiveness of the proposed methods.

Date: 2013
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https://doi.org/10.1155/2013/691650

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:691650

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