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

Xinghua Liu | Zendy; Hongsheng Xi | Zendy

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

Author(s) -

Xinghua Liu,

Hongsheng Xi

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/691650

Subject(s) - mathematics , exponential stability , lemma (botany) , bounding overwatch , stability (learning theory) , nonlinear system , lyapunov function , weighting , control theory (sociology) , exponential function , range (aeronautics) , mathematical analysis , computer science , medicine , ecology , physics , poaceae , control (management) , radiology , quantum mechanics , artificial intelligence , machine learning , biology , materials science , composite material

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

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