Robust Stabilization of Stochastic Markovian Jump Systems with Distributed Delays
This paper addresses the robust stabilization problem for a class of stochastic Markovian jump systems with distributed delays. The systems under consideration involve Brownian motion, Markov chains, distributed delays, and parameter uncertainties. By an appropriate Lyapunov–Krasovskii functional, t...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6649629 |
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| _version_ | 1850211481511002112 |
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| author | Guilei Chen Zhenwei Zhang Chao Li Dianju Qiao Bo Sun |
| author_facet | Guilei Chen Zhenwei Zhang Chao Li Dianju Qiao Bo Sun |
| author_sort | Guilei Chen |
| collection | DOAJ |
| description | This paper addresses the robust stabilization problem for a class of stochastic Markovian jump systems with distributed delays. The systems under consideration involve Brownian motion, Markov chains, distributed delays, and parameter uncertainties. By an appropriate Lyapunov–Krasovskii functional, the novel delay-dependent stabilization criterion for the stochastic Markovian jump systems is derived in terms of linear matrix inequalities. When given linear matrix inequalities are feasible, an explicit expression of the desired state feedback controller is given. The designed controller, based on the obtained criterion, ensures asymptotically stable in the mean square sense of the resulting closed-loop system. The convenience of the design is greatly enhanced due to the existence of an adjustable parameter in the controller. Finally, a numerical example is exploited to demonstrate the effectiveness of the developed theory. |
| format | Article |
| id | doaj-art-8c94bd849c8844cbb5e5af16d3fcd4e8 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-8c94bd849c8844cbb5e5af16d3fcd4e82025-08-20T02:09:33ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66496296649629Robust Stabilization of Stochastic Markovian Jump Systems with Distributed DelaysGuilei Chen0Zhenwei Zhang1Chao Li2Dianju Qiao3Bo Sun4Department of Fundamental Courses, Shandong University of Science and Technology, Tai’an 271000, Shandong, ChinaCollege of Electronic and Information Engineering, Shandong University of Science and Technology, Qingdao 266590, Shandong, ChinaCollege of Electronic and Information Engineering, Shandong University of Science and Technology, Qingdao 266590, Shandong, ChinaCollege of Intelligent Equipment, Shandong University of Science and Technology, Tai’an 271000, Shandong, ChinaCollege of Intelligent Equipment, Shandong University of Science and Technology, Tai’an 271000, Shandong, ChinaThis paper addresses the robust stabilization problem for a class of stochastic Markovian jump systems with distributed delays. The systems under consideration involve Brownian motion, Markov chains, distributed delays, and parameter uncertainties. By an appropriate Lyapunov–Krasovskii functional, the novel delay-dependent stabilization criterion for the stochastic Markovian jump systems is derived in terms of linear matrix inequalities. When given linear matrix inequalities are feasible, an explicit expression of the desired state feedback controller is given. The designed controller, based on the obtained criterion, ensures asymptotically stable in the mean square sense of the resulting closed-loop system. The convenience of the design is greatly enhanced due to the existence of an adjustable parameter in the controller. Finally, a numerical example is exploited to demonstrate the effectiveness of the developed theory.http://dx.doi.org/10.1155/2021/6649629 |
| spellingShingle | Guilei Chen Zhenwei Zhang Chao Li Dianju Qiao Bo Sun Robust Stabilization of Stochastic Markovian Jump Systems with Distributed Delays Complexity |
| title | Robust Stabilization of Stochastic Markovian Jump Systems with Distributed Delays |
| title_full | Robust Stabilization of Stochastic Markovian Jump Systems with Distributed Delays |
| title_fullStr | Robust Stabilization of Stochastic Markovian Jump Systems with Distributed Delays |
| title_full_unstemmed | Robust Stabilization of Stochastic Markovian Jump Systems with Distributed Delays |
| title_short | Robust Stabilization of Stochastic Markovian Jump Systems with Distributed Delays |
| title_sort | robust stabilization of stochastic markovian jump systems with distributed delays |
| url | http://dx.doi.org/10.1155/2021/6649629 |
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