New Results on Stability and Stabilization of Markovian Jump Systems with Time Delay | Zendy

Hongwei Xia | Zendy; Li Li | Zendy; Yanmin Wang | Zendy; Guangcheng Ma | Zendy; Changhong Wang | Zendy

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New Results on Stability and Stabilization of Markovian Jump Systems with Time Delay

Author(s) -

Hongwei Xia,

Li Li,

Yanmin Wang,

Guangcheng Ma,

Changhong Wang

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/927316

Subject(s) - control theory (sociology) , stability (learning theory) , markov process , computer science , full state feedback , stability criterion , jumping , controller (irrigation) , state (computer science) , mathematics , discrete time and continuous time , control (management) , algorithm , physiology , statistics , machine learning , artificial intelligence , agronomy , biology

This technical paper deals with the problem of stochastic stability and stabilization for a class of linear Markovian jumping systems with discrete time-varying delay. A novel delay-dependent stochastic stability criterion for Markovian delay systems is established based on new augmented Lyapunov-Krasovskii functional and delay fractioning techniques. Then a state feedback controller is designed to guarantee the stochastic stability of the resulting closed-loop system. Numerical examples are provided to illustrate the effectiveness of the proposed design approach in this paper

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