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.6653943832-501172018-09-04T04:24:33Z An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales Kanit Mukdasai Piyapong Niamsup Mathematics 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. 2018-09-04T04:24:33Z 2018-09-04T04:24:33Z 2011-09-16 Journal 16870409 10853375 2-s2.0-80052655515 10.1155/2011/860506 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80052655515&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50117 |
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Chiang Mai University Library |
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Thailand |
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CMU Intellectual Repository |
| topic |
Mathematics |
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Mathematics Kanit Mukdasai Piyapong Niamsup An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales |
| 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 |
Journal |
| author |
Kanit Mukdasai Piyapong Niamsup |
| author_facet |
Kanit Mukdasai Piyapong Niamsup |
| author_sort |
Kanit Mukdasai |
| 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 |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80052655515&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50117 |
| _version_ |
1681423532116934656 |