Exponential Stabilization for a Class of Nonlinear Switched Systems with Mixed Delays under Asynchronous Switching
This paper deals with the exponential stabilization problem for a class of nonlinear switched systems with mixed delays under asynchronous switching. The switching signal of the switched controller involves delay, which results in the asynchronous switching between the candidate controllers and subs...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/7692375 |
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| _version_ | 1850175809430487040 |
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| author | Yongzhao Wang |
| author_facet | Yongzhao Wang |
| author_sort | Yongzhao Wang |
| collection | DOAJ |
| description | This paper deals with the exponential stabilization problem for a class of nonlinear switched systems with mixed delays under asynchronous switching. The switching signal of the switched controller involves delay, which results in the asynchronous switching between the candidate controllers and subsystems. By constructing the parameter-dependent Lyapunov-Krasovskii functional and the average dwell time approach, some sufficient conditions in forms of linear matrix inequalities are presented to ensure the exponential stability of the switched nonlinear system under arbitrary switching signals. In addition, through the special deformation of the matrix and Schur complement, the controllers with asynchronous switching are designed. Finally, a numerical example and a practical example of river pollution control are provided to show the validity and potential of the developed results. |
| format | Article |
| id | doaj-art-c0935d6258a44a4fb0dbcd53ad2ee8fd |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c0935d6258a44a4fb0dbcd53ad2ee8fd2025-08-20T02:19:22ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/76923757692375Exponential Stabilization for a Class of Nonlinear Switched Systems with Mixed Delays under Asynchronous SwitchingYongzhao Wang0School of Mathematics and Statistics, Anyang Normal University, Xuange Avenue 436, Anyang, ChinaThis paper deals with the exponential stabilization problem for a class of nonlinear switched systems with mixed delays under asynchronous switching. The switching signal of the switched controller involves delay, which results in the asynchronous switching between the candidate controllers and subsystems. By constructing the parameter-dependent Lyapunov-Krasovskii functional and the average dwell time approach, some sufficient conditions in forms of linear matrix inequalities are presented to ensure the exponential stability of the switched nonlinear system under arbitrary switching signals. In addition, through the special deformation of the matrix and Schur complement, the controllers with asynchronous switching are designed. Finally, a numerical example and a practical example of river pollution control are provided to show the validity and potential of the developed results.http://dx.doi.org/10.1155/2018/7692375 |
| spellingShingle | Yongzhao Wang Exponential Stabilization for a Class of Nonlinear Switched Systems with Mixed Delays under Asynchronous Switching Complexity |
| title | Exponential Stabilization for a Class of Nonlinear Switched Systems with Mixed Delays under Asynchronous Switching |
| title_full | Exponential Stabilization for a Class of Nonlinear Switched Systems with Mixed Delays under Asynchronous Switching |
| title_fullStr | Exponential Stabilization for a Class of Nonlinear Switched Systems with Mixed Delays under Asynchronous Switching |
| title_full_unstemmed | Exponential Stabilization for a Class of Nonlinear Switched Systems with Mixed Delays under Asynchronous Switching |
| title_short | Exponential Stabilization for a Class of Nonlinear Switched Systems with Mixed Delays under Asynchronous Switching |
| title_sort | exponential stabilization for a class of nonlinear switched systems with mixed delays under asynchronous switching |
| url | http://dx.doi.org/10.1155/2018/7692375 |
| work_keys_str_mv | AT yongzhaowang exponentialstabilizationforaclassofnonlinearswitchedsystemswithmixeddelaysunderasynchronousswitching |