Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7151479 | Systems & Control Letters | 2018 | 10 Pages |
Abstract
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 Itô 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.
Related Topics
Physical Sciences and Engineering
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Control and Systems Engineering
Authors
Guangming Zhuang, Qian Ma, Baoyong Zhang, Shengyuan Xu, Jianwei Xia,