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Zbl 1179.93170
Fei, Zhongyang; Gao, Huijun; Shi, Peng
New results on stabilization of Markovian jump systems with time delay. (English)
[J] Automatica 45, No. 10, 2300-2306 (2009). ISSN 0005-1098

Summary: This paper studies the problem of stochastic stabilization for a class of Markovian jump systems with time delay. A new delay-dependent stochastic stability criterion on the stochastic stability of the system is derived based on a novel Lyapunov-Krasovskii Functional (LKF) approach. The equivalence and superiority to existing results are demonstrated. Then a state feedback controller, which guarantees the stochastic stability of the closed-loop system, is designed. Illustrative examples are provided to show the reduced conservatism and effectiveness of the proposed techniques.

MSC 2000:: *93E15 Stochastic stability
60J75 Jump processes
93B52 Feedback control
15A39 Linear inequalities

Keywords: Markovian jump systems; stochastic stability; time delay; stabilization; linear matrix inequality (LMI)

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Zentralblatt MATH Berlin [Germany]