期刊
AUTOMATICA
卷 45, 期 10, 页码 2300-2306出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2009.06.020
关键词
Markovian jump systems; Stochastic stability; Time delay; Stabilization; Linear matrix inequality (LMI)
资金
- National Natural Science Foundation of China [60825303, 60834003]
- 973 Project [2009CB320600]
- Author of National Excellent Doctoral Dissertation of China [2007E4]
- Heilongjiang Outstanding Youth Science Fund [JC200809]
- Engineering and Physical Sciences Research Council, UK [EP/F029195]
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. (C) 2009 Elsevier Ltd. All rights reserved.
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