Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type
This paper deals with the problem of stability for a class of Lur’e systems with interval time-varying delay and sector-bounded nonlinearity. The interval time-varying delay function is not assumed to be differentiable. We analyze the global exponential stability for uncertain neutral and Lur’e dyna...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/961382 |
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| author | W. Weera P. Niamsup |
| author_facet | W. Weera P. Niamsup |
| author_sort | W. Weera |
| collection | DOAJ |
| description | This paper deals with the problem of stability for a class of Lur’e systems with interval time-varying delay and sector-bounded nonlinearity. The interval time-varying delay function is not assumed to be differentiable. We analyze the global exponential stability for uncertain neutral and Lur’e dynamical systems with some sector conditions. By constructing a set of improved Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, we establish some stability criteria in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the results. |
| format | Article |
| id | doaj-art-672702c0ba584717a57254df8d1531e2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-672702c0ba584717a57254df8d1531e22025-02-03T01:11:37ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/961382961382Robust Stability of a Class of Uncertain Lur'e Systems of Neutral TypeW. Weera0P. Niamsup1Department of Mathematics, Chiang Commission of Higher Education Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Chiang Commission of Higher Education Mai University, Chiang Mai 50200, ThailandThis paper deals with the problem of stability for a class of Lur’e systems with interval time-varying delay and sector-bounded nonlinearity. The interval time-varying delay function is not assumed to be differentiable. We analyze the global exponential stability for uncertain neutral and Lur’e dynamical systems with some sector conditions. By constructing a set of improved Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, we establish some stability criteria in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the results.http://dx.doi.org/10.1155/2012/961382 |
| spellingShingle | W. Weera P. Niamsup Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type Abstract and Applied Analysis |
| title | Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type |
| title_full | Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type |
| title_fullStr | Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type |
| title_full_unstemmed | Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type |
| title_short | Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type |
| title_sort | robust stability of a class of uncertain lur e systems of neutral type |
| url | http://dx.doi.org/10.1155/2012/961382 |
| work_keys_str_mv | AT wweera robuststabilityofaclassofuncertainluresystemsofneutraltype AT pniamsup robuststabilityofaclassofuncertainluresystemsofneutraltype |