Passivity and Passification for a Class of Uncertain Switched Stochastic Time-Delay Systems
This paper is concerned with the problems of passivity and passification for a class of uncertain switched systems subject to stochastic disturbance and time-varying delay. The passivity property is adopted to analyze the influence of the external disturbance on such systems to achieve prescribed at...
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| Format: | Journal Article |
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Institute of Electrical and Electronics Engineers
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/11890 |
| _version_ | 1848747925682782208 |
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| author | Lian, J. Shi, Peng Feng, Z. |
| author_facet | Lian, J. Shi, Peng Feng, Z. |
| author_sort | Lian, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper is concerned with the problems of passivity and passification for a class of uncertain switched systems subject to stochastic disturbance and time-varying delay. The passivity property is adopted to analyze the influence of the external disturbance on such systems to achieve prescribed attenuation levels. Based on average dwell time approach, free-weighting matrix method, and Jensen’s integral inequality, delay-dependent sufficient conditions are obtained in terms of linear matrix inequalities, which ensure the uncertain switched stochastic time-delay system to be robustly mean-square exponentially stable and stochastically passive. Then, the switched passive controllers are synthesized by linearization techniques. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods. |
| first_indexed | 2025-11-14T06:56:54Z |
| format | Journal Article |
| id | curtin-20.500.11937-11890 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:56:54Z |
| publishDate | 2013 |
| publisher | Institute of Electrical and Electronics Engineers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-118902017-09-13T14:53:17Z Passivity and Passification for a Class of Uncertain Switched Stochastic Time-Delay Systems Lian, J. Shi, Peng Feng, Z. exponential stability in mean square passivity and passification Average dwell time approach switched stochastic systems time-varying delay This paper is concerned with the problems of passivity and passification for a class of uncertain switched systems subject to stochastic disturbance and time-varying delay. The passivity property is adopted to analyze the influence of the external disturbance on such systems to achieve prescribed attenuation levels. Based on average dwell time approach, free-weighting matrix method, and Jensen’s integral inequality, delay-dependent sufficient conditions are obtained in terms of linear matrix inequalities, which ensure the uncertain switched stochastic time-delay system to be robustly mean-square exponentially stable and stochastically passive. Then, the switched passive controllers are synthesized by linearization techniques. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods. 2013 Journal Article http://hdl.handle.net/20.500.11937/11890 10.1109/TSMCB.2012.2198811 Institute of Electrical and Electronics Engineers restricted |
| spellingShingle | exponential stability in mean square passivity and passification Average dwell time approach switched stochastic systems time-varying delay Lian, J. Shi, Peng Feng, Z. Passivity and Passification for a Class of Uncertain Switched Stochastic Time-Delay Systems |
| title | Passivity and Passification for a Class of Uncertain Switched Stochastic Time-Delay Systems |
| title_full | Passivity and Passification for a Class of Uncertain Switched Stochastic Time-Delay Systems |
| title_fullStr | Passivity and Passification for a Class of Uncertain Switched Stochastic Time-Delay Systems |
| title_full_unstemmed | Passivity and Passification for a Class of Uncertain Switched Stochastic Time-Delay Systems |
| title_short | Passivity and Passification for a Class of Uncertain Switched Stochastic Time-Delay Systems |
| title_sort | passivity and passification for a class of uncertain switched stochastic time-delay systems |
| topic | exponential stability in mean square passivity and passification Average dwell time approach switched stochastic systems time-varying delay |
| url | http://hdl.handle.net/20.500.11937/11890 |