Robust exponential stability and stabilizability of linear parameter dependent systems with delays
The robust exponential stability and stabilizability problems are addressed in this paper for a class of linear parameter dependent systems with interval time-varying and constant delays. In this paper, restrictions on the derivative of the time-varying delay is not required which allows the time-de...
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th-cmuir.6653943832-509812018-09-04T04:49:14Z Robust exponential stability and stabilizability of linear parameter dependent systems with delays T. Botmart P. Niamsup Mathematics The robust exponential stability and stabilizability problems are addressed in this paper for a class of linear parameter dependent systems with interval time-varying and constant delays. In this paper, restrictions on the derivative of the time-varying delay is not required which allows the time-delay to be a fast time-varying function. Based on the Lyapunov-Krasovskii theory, we derive delay-dependent exponential stability and stabilizability conditions in terms of linear matrix inequalities (LMIs) which can be solved by various available algorithms. Numerical examples are given to illustrate the effectiveness of our theoretical results. © 2010 Elsevier Inc. All rights reserved. 2018-09-04T04:49:14Z 2018-09-04T04:49:14Z 2010-11-15 Journal 00963003 2-s2.0-77957976271 10.1016/j.amc.2010.07.068 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957976271&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50981 |
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Mathematics T. Botmart P. Niamsup Robust exponential stability and stabilizability of linear parameter dependent systems with delays |
| description |
The robust exponential stability and stabilizability problems are addressed in this paper for a class of linear parameter dependent systems with interval time-varying and constant delays. In this paper, restrictions on the derivative of the time-varying delay is not required which allows the time-delay to be a fast time-varying function. Based on the Lyapunov-Krasovskii theory, we derive delay-dependent exponential stability and stabilizability conditions in terms of linear matrix inequalities (LMIs) which can be solved by various available algorithms. Numerical examples are given to illustrate the effectiveness of our theoretical results. © 2010 Elsevier Inc. All rights reserved. |
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Journal |
| author |
T. Botmart P. Niamsup |
| author_facet |
T. Botmart P. Niamsup |
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T. Botmart |
| title |
Robust exponential stability and stabilizability of linear parameter dependent systems with delays |
| title_short |
Robust exponential stability and stabilizability of linear parameter dependent systems with delays |
| title_full |
Robust exponential stability and stabilizability of linear parameter dependent systems with delays |
| title_fullStr |
Robust exponential stability and stabilizability of linear parameter dependent systems with delays |
| title_full_unstemmed |
Robust exponential stability and stabilizability of linear parameter dependent systems with delays |
| title_sort |
robust exponential stability and stabilizability of linear parameter dependent systems with delays |
| publishDate |
2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957976271&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50981 |
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