Linear uncertain non-autonomous time-delay systems: Stability and stabilizability via riccati equations
This paper addresses the problem of exponential stability for a class of uncertain linear non-autonomous time-delay systems. Here, the parameter uncertainties are time-varying and unknown but norm-bounded and the delays are time-varying. Based on combination of the Riccati equation approach and the...
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th-cmuir.6653943832-605562018-09-10T03:45:11Z Linear uncertain non-autonomous time-delay systems: Stability and stabilizability via riccati equations Piyapong Niamsup Kanit Mukdasai Vu N. Phat Mathematics This paper addresses the problem of exponential stability for a class of uncertain linear non-autonomous time-delay systems. Here, the parameter uncertainties are time-varying and unknown but norm-bounded and the delays are time-varying. Based on combination of the Riccati equation approach and the use of suitable Lyapunov-Krasovskii functional, new sufficient conditions for the robust stability are obtained in terms of the solution of Riccati-type equations. The approach allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. As an application, sufficient conditions for the robust stabilization are derived. Numerical examples illustrated the results are given. © 2008 Texas State University. 2018-09-10T03:45:11Z 2018-09-10T03:45:11Z 2008-02-22 Journal 10726691 2-s2.0-40749114393 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=40749114393&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/60556 |
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Mathematics Piyapong Niamsup Kanit Mukdasai Vu N. Phat Linear uncertain non-autonomous time-delay systems: Stability and stabilizability via riccati equations |
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This paper addresses the problem of exponential stability for a class of uncertain linear non-autonomous time-delay systems. Here, the parameter uncertainties are time-varying and unknown but norm-bounded and the delays are time-varying. Based on combination of the Riccati equation approach and the use of suitable Lyapunov-Krasovskii functional, new sufficient conditions for the robust stability are obtained in terms of the solution of Riccati-type equations. The approach allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. As an application, sufficient conditions for the robust stabilization are derived. Numerical examples illustrated the results are given. © 2008 Texas State University. |
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Journal |
author |
Piyapong Niamsup Kanit Mukdasai Vu N. Phat |
author_facet |
Piyapong Niamsup Kanit Mukdasai Vu N. Phat |
author_sort |
Piyapong Niamsup |
title |
Linear uncertain non-autonomous time-delay systems: Stability and stabilizability via riccati equations |
title_short |
Linear uncertain non-autonomous time-delay systems: Stability and stabilizability via riccati equations |
title_full |
Linear uncertain non-autonomous time-delay systems: Stability and stabilizability via riccati equations |
title_fullStr |
Linear uncertain non-autonomous time-delay systems: Stability and stabilizability via riccati equations |
title_full_unstemmed |
Linear uncertain non-autonomous time-delay systems: Stability and stabilizability via riccati equations |
title_sort |
linear uncertain non-autonomous time-delay systems: stability and stabilizability via riccati equations |
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2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=40749114393&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/60556 |
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