Exponential stability of uncertain switched systems with multiple non-differentiable time-varying delays
In this paper, the design of switching rule for exponential stability of a class of uncertain switched systems with delays is studied. The systems to be considered are linear and the state delays are time-varying. Based on Lyapunov functional and average dwell time approach, condition on the derivat...
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th-cmuir.6653943832-71922014-08-30T03:51:41Z Exponential stability of uncertain switched systems with multiple non-differentiable time-varying delays La-Inchua T. Niamsup P. In this paper, the design of switching rule for exponential stability of a class of uncertain switched systems with delays is studied. The systems to be considered are linear and the state delays are time-varying. Based on Lyapunov functional and average dwell time approach, condition on the derivative of time-delay functions are not need to design switching rule for the exponential stability of switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of LMIs which can be solved easily by various available algorithms. The effectiveness of the proposed method is demonstrated by a simulation example. © 2013 T. La-inchua and P. Niamsup. 2014-08-30T03:51:41Z 2014-08-30T03:51:41Z 2013 Article 1312885X 10.12988/ams.2013.36330 http://www.scopus.com/inward/record.url?eid=2-s2.0-84886259646&partnerID=40&md5=854422b43d897c256f35f87920424bc1 http://cmuir.cmu.ac.th/handle/6653943832/7192 English |
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In this paper, the design of switching rule for exponential stability of a class of uncertain switched systems with delays is studied. The systems to be considered are linear and the state delays are time-varying. Based on Lyapunov functional and average dwell time approach, condition on the derivative of time-delay functions are not need to design switching rule for the exponential stability of switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of LMIs which can be solved easily by various available algorithms. The effectiveness of the proposed method is demonstrated by a simulation example. © 2013 T. La-inchua and P. Niamsup. |
| format |
Article |
| author |
La-Inchua T. Niamsup P. |
| spellingShingle |
La-Inchua T. Niamsup P. Exponential stability of uncertain switched systems with multiple non-differentiable time-varying delays |
| author_facet |
La-Inchua T. Niamsup P. |
| author_sort |
La-Inchua T. |
| title |
Exponential stability of uncertain switched systems with multiple non-differentiable time-varying delays |
| title_short |
Exponential stability of uncertain switched systems with multiple non-differentiable time-varying delays |
| title_full |
Exponential stability of uncertain switched systems with multiple non-differentiable time-varying delays |
| title_fullStr |
Exponential stability of uncertain switched systems with multiple non-differentiable time-varying delays |
| title_full_unstemmed |
Exponential stability of uncertain switched systems with multiple non-differentiable time-varying delays |
| title_sort |
exponential stability of uncertain switched systems with multiple non-differentiable time-varying delays |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84886259646&partnerID=40&md5=854422b43d897c256f35f87920424bc1 http://cmuir.cmu.ac.th/handle/6653943832/7192 |
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