Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay
The problem of robust exponential stabilization for dynamical nonlinear systems with uncertainties and time-varying delay is considered in the paper. By constructing the proposed Lyapunov-Krasovskii functional approach, continuous state feedback controllers are put forward, and the criteria which gu...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/969674 |
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| _version_ | 1832564231239630848 |
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| author | Yali Dong Shengwei Mei Xueli Wang |
| author_facet | Yali Dong Shengwei Mei Xueli Wang |
| author_sort | Yali Dong |
| collection | DOAJ |
| description | The problem of robust exponential stabilization for dynamical nonlinear systems with uncertainties and time-varying delay is considered in the paper. By constructing the proposed Lyapunov-Krasovskii functional approach, continuous state feedback controllers are put forward, and the criteria which guarantee the exponential stabilization of the nonlinear systems with uncertainties and time-varying delay are established in terms of solutions to the standard Riccati differential equations. Furthermore, based on the Lyapunov method and the linear matrix inequality approach, the sufficient conditions of exponential stability for a class of uncertain systems with time-varying delays and nonlinear perturbations are derived. Finally, two numerical examples are given to demonstrate the validity of the results. |
| format | Article |
| id | doaj-art-f33bdfd07fa242f285caa87f7034fe7a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f33bdfd07fa242f285caa87f7034fe7a2025-02-03T01:11:34ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/969674969674Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying DelayYali Dong0Shengwei Mei1Xueli Wang2School of Science, Tianjin Polytechnic University, Tianjin 300160, ChinaDepartment of Electrical Engineering, Tsinghua University, Beijing 100084, ChinaSchool of Science, Tianjin Polytechnic University, Tianjin 300160, ChinaThe problem of robust exponential stabilization for dynamical nonlinear systems with uncertainties and time-varying delay is considered in the paper. By constructing the proposed Lyapunov-Krasovskii functional approach, continuous state feedback controllers are put forward, and the criteria which guarantee the exponential stabilization of the nonlinear systems with uncertainties and time-varying delay are established in terms of solutions to the standard Riccati differential equations. Furthermore, based on the Lyapunov method and the linear matrix inequality approach, the sufficient conditions of exponential stability for a class of uncertain systems with time-varying delays and nonlinear perturbations are derived. Finally, two numerical examples are given to demonstrate the validity of the results.http://dx.doi.org/10.1155/2011/969674 |
| spellingShingle | Yali Dong Shengwei Mei Xueli Wang Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay Abstract and Applied Analysis |
| title | Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay |
| title_full | Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay |
| title_fullStr | Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay |
| title_full_unstemmed | Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay |
| title_short | Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay |
| title_sort | novel stability criteria of nonlinear uncertain systems with time varying delay |
| url | http://dx.doi.org/10.1155/2011/969674 |
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