The sufficient conditions for stability of linear time-varying systems with state delays
This paper studies the stabilization of the infinite-dimensional linear time-varying system with state delays ẋ = A(t)x + A1(t)x(t -h) + B(t)u. The operator A(t) is assumed to be the generator of a strong evolution operator. In contrast to the previous results, the stabilizability conditions are obt...
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th-cmuir.6653943832-509722018-09-04T04:49:09Z The sufficient conditions for stability of linear time-varying systems with state delays Kreangkri Ratchagit Mathematics This paper studies the stabilization of the infinite-dimensional linear time-varying system with state delays ẋ = A(t)x + A1(t)x(t -h) + B(t)u. The operator A(t) is assumed to be the generator of a strong evolution operator. In contrast to the previous results, the stabilizability conditions are obtained via solving a Riccati differential equation and do not involve any stability property of the evolution operator. Our conditions are easy to construct and to verify. We provide a step-by-step procedure for finding feedback controllers. © 2010, Academic Publications Ltd. 2018-09-04T04:49:09Z 2018-09-04T04:49:09Z 2010-12-10 Journal 13118080 2-s2.0-78649764511 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78649764511&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50972 |
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Chiang Mai University |
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Thailand |
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Mathematics |
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Mathematics Kreangkri Ratchagit The sufficient conditions for stability of linear time-varying systems with state delays |
| description |
This paper studies the stabilization of the infinite-dimensional linear time-varying system with state delays ẋ = A(t)x + A1(t)x(t -h) + B(t)u. The operator A(t) is assumed to be the generator of a strong evolution operator. In contrast to the previous results, the stabilizability conditions are obtained via solving a Riccati differential equation and do not involve any stability property of the evolution operator. Our conditions are easy to construct and to verify. We provide a step-by-step procedure for finding feedback controllers. © 2010, Academic Publications Ltd. |
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Journal |
| author |
Kreangkri Ratchagit |
| author_facet |
Kreangkri Ratchagit |
| author_sort |
Kreangkri Ratchagit |
| title |
The sufficient conditions for stability of linear time-varying systems with state delays |
| title_short |
The sufficient conditions for stability of linear time-varying systems with state delays |
| title_full |
The sufficient conditions for stability of linear time-varying systems with state delays |
| title_fullStr |
The sufficient conditions for stability of linear time-varying systems with state delays |
| title_full_unstemmed |
The sufficient conditions for stability of linear time-varying systems with state delays |
| title_sort |
sufficient conditions for stability of linear time-varying systems with state delays |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78649764511&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50972 |
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