Journal
AUTOMATICA
Volume 45, Issue 10, Pages 2300-2306Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2009.06.020
Keywords
Markovian jump systems; Stochastic stability; Time delay; Stabilization; Linear matrix inequality (LMI)
Funding
- 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]
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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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