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&#...
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th-cmuir.6653943832-386772015-06-16T07:53:53Z Robust stability of a class of uncertain Lur'e systems of neutral type Weera W. Niamsup P. Niamsup P. Niamsup P. Applied Mathematics Analysis 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. © 2012 W. Weera and P. Niamsup. 2015-06-16T07:53:53Z 2015-06-16T07:53:53Z 2012-12-01 Article 10853375 2-s2.0-84872810885 10.1155/2012/961382 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84872810885&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38677 Hindawi Publishing Corporation |
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Applied Mathematics Analysis |
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Applied Mathematics Analysis Weera W. Niamsup P. Niamsup P. Niamsup P. Robust stability of a class of uncertain Lur'e systems of neutral type |
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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. © 2012 W. Weera and P. Niamsup. |
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Article |
| author |
Weera W. Niamsup P. Niamsup P. Niamsup P. |
| author_facet |
Weera W. Niamsup P. Niamsup P. Niamsup P. |
| author_sort |
Weera W. |
| title |
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_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_sort |
robust stability of a class of uncertain lur'e systems of neutral type |
| publisher |
Hindawi Publishing Corporation |
| publishDate |
2015 |
| url |
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84872810885&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38677 |
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