An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales
We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, -uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on time scales. We construct appropriate Lyapunov...
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th-cmuir.6653943832-64582014-08-30T03:24:14Z An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales Mukdasai K. Niamsup P. We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, -uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on time scales. We construct appropriate Lyapunov functions and derive several stability conditions. Numerical examples are presented to illustrate the effectiveness of the theoretical results. © 2011 Kanit Mukdasai and Piyapong Niamsup. 2014-08-30T03:24:14Z 2014-08-30T03:24:14Z 2011 Article 10853375 10.1155/2011/860506 http://www.scopus.com/inward/record.url?eid=2-s2.0-80052655515&partnerID=40&md5=f16c999ac8c015f92491ef1f164dbfb1 http://cmuir.cmu.ac.th/handle/6653943832/6458 English |
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English |
| description |
We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, -uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on time scales. We construct appropriate Lyapunov functions and derive several stability conditions. Numerical examples are presented to illustrate the effectiveness of the theoretical results. © 2011 Kanit Mukdasai and Piyapong Niamsup. |
| format |
Article |
| author |
Mukdasai K. Niamsup P. |
| spellingShingle |
Mukdasai K. Niamsup P. An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales |
| author_facet |
Mukdasai K. Niamsup P. |
| author_sort |
Mukdasai K. |
| title |
An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales |
| title_short |
An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales |
| title_full |
An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales |
| title_fullStr |
An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales |
| title_full_unstemmed |
An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales |
| title_sort |
lmi approach to stability for linear time-varying system with nonlinear perturbation on time scales |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-80052655515&partnerID=40&md5=f16c999ac8c015f92491ef1f164dbfb1 http://cmuir.cmu.ac.th/handle/6653943832/6458 |
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