Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying Delay
The problems of mean-square exponential stability and robust H∞ control of switched stochastic systems with time-varying delay are investigated in this paper. Based on the average dwell time method and Gronwall-Bellman inequality, a new mean-square exponential stability criterion of such system is d...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/202916 |
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| _version_ | 1832559281388388352 |
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| author | Zhengrong Xiang Guoxin Chen |
| author_facet | Zhengrong Xiang Guoxin Chen |
| author_sort | Zhengrong Xiang |
| collection | DOAJ |
| description | The problems of mean-square exponential stability and robust H∞ control of switched stochastic systems with time-varying delay are investigated in this paper. Based on the average dwell time method and Gronwall-Bellman inequality, a new mean-square exponential stability criterion of such system is derived in terms of linear matrix inequalities (LMIs). Then, H∞ performance is studied and robust H∞ controller is designed. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach. |
| format | Article |
| id | doaj-art-6917138935044fb19ccda13caba16636 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-6917138935044fb19ccda13caba166362025-02-03T01:30:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/202916202916Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying DelayZhengrong Xiang0Guoxin Chen1School of Automation, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Automation, Nanjing University of Science and Technology, Nanjing 210094, ChinaThe problems of mean-square exponential stability and robust H∞ control of switched stochastic systems with time-varying delay are investigated in this paper. Based on the average dwell time method and Gronwall-Bellman inequality, a new mean-square exponential stability criterion of such system is derived in terms of linear matrix inequalities (LMIs). Then, H∞ performance is studied and robust H∞ controller is designed. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2012/202916 |
| spellingShingle | Zhengrong Xiang Guoxin Chen Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying Delay Journal of Applied Mathematics |
| title | Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying Delay |
| title_full | Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying Delay |
| title_fullStr | Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying Delay |
| title_full_unstemmed | Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying Delay |
| title_short | Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying Delay |
| title_sort | stability analysis and robust h∞ control of switched stochastic systems with time varying delay |
| url | http://dx.doi.org/10.1155/2012/202916 |
| work_keys_str_mv | AT zhengrongxiang stabilityanalysisandrobusthcontrolofswitchedstochasticsystemswithtimevaryingdelay AT guoxinchen stabilityanalysisandrobusthcontrolofswitchedstochasticsystemswithtimevaryingdelay |