Journal
SYSTEMS & CONTROL LETTERS
Volume 114, Issue -, Pages 1-10Publisher
ELSEVIER
DOI: 10.1016/j.sysconle.2018.02.004
Keywords
Stochastic singular systems; Markovian jump systems; Time-delay systems; Stochastic admissibility; State feedback control
Funding
- NSFC [61403178, 61773191, 61473151, 61573177, 61773207]
- Natural Science Foundation of Shandong Province for Outstanding Young Talents in Provincial Universities [ZR2016JL025]
- Program for Changjiang Scholars and Innovative Research Team in University [IRT13072]
- Natural Science Fund for Distinguished Young Scholars of Jiangsu Province [BK20150034]
- Natural Science Foundation of Jiangsu Province [BK20140770]
- Liaocheng University Foundation [26322170267]
- Priority Academic Program Development of Jiangsu Higher Education Institutions
- Special Fund Plan for Local Science and Technology Development Lead by Central Authority
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This paper deals with the admissibility analysis and stabilization of stochastic singular Markovian jump systems (SSMJSs) with time delays. More general conditions for the existence and uniqueness of the impulse-free solution to delayed SSMJSs are presented. Consequently, by constructing stochastic Lyapunov-Krasovskii functional and applying generalized Ito formula, new sufficient conditions for the stability of SSMJSs and delayed SSMJSs are obtained in terms of strict linear matrix inequalities. State feedback controller is designed to ensure stabilization of the delayed SSMJSs. Three illustrative examples, including an RLC circuit network and an oil catalytic cracking process, are employed to verify the effectiveness and usefulness of the obtained results. (C) 2018 Elsevier B.V. All rights reserved.
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