Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/83498
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Type: Journal article
Title: New results on stabilization of Markovian jump systems with time delay
Author: Fei, Z.
Gao, H.
Shi, P.
Citation: Automatica, 2009; 45(10):2300-2306
Publisher: Pergamon-Elsevier Science Ltd
Issue Date: 2009
ISSN: 0005-1098
1873-2836
Statement of
Responsibility: 
Zhongyang Fei, Huijun Gao, Peng Shi
Abstract: 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. © 2009 Elsevier Ltd. All rights reserved.
Keywords: Markovian jump systems
Stochastic stability
Time delay
Stabilization
Linear matrix inequality (LMI)
Rights: © 2009 Elsevier Ltd. All rights reserved.
DOI: 10.1016/j.automatica.2009.06.020
Published version: http://dx.doi.org/10.1016/j.automatica.2009.06.020
Appears in Collections:Aurora harvest
Electrical and Electronic Engineering publications

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