Discrete-time systems with time-varying time delay: stability and stabilizability
<p>This paper deals with the class of linear discrete-time systems with varying time delay. The problems of stability and stabilizability for this class of systems are considered. Given an upper bound and a lower bound on the time-varying delay, sufficient conditions for checking the stability...
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| Language: | English |
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Hindawi Limited
2006-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://www.hindawi.com/GetArticle.aspx?doi=10.1155/MPE/2006/42489 |
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doaj-289f28c928264582a3a6f79673c490b02020-11-24T23:53:36ZengHindawi LimitedMathematical Problems in Engineering1024-123X2006-01-012006Discrete-time systems with time-varying time delay: stability and stabilizability<p>This paper deals with the class of linear discrete-time systems with varying time delay. The problems of stability and stabilizability for this class of systems are considered. Given an upper bound and a lower bound on the time-varying delay, sufficient conditions for checking the stability of this class of systems are developed. A control design algorithm is also provided. All the results developed in this paper are in the LMI formalism which makes their solvability easier using existing tools. A numerical example is provided to show the effectiveness of the established results.</p>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/MPE/2006/42489 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| title |
Discrete-time systems with time-varying time delay: stability and stabilizability |
| spellingShingle |
Discrete-time systems with time-varying time delay: stability and stabilizability Mathematical Problems in Engineering |
| title_short |
Discrete-time systems with time-varying time delay: stability and stabilizability |
| title_full |
Discrete-time systems with time-varying time delay: stability and stabilizability |
| title_fullStr |
Discrete-time systems with time-varying time delay: stability and stabilizability |
| title_full_unstemmed |
Discrete-time systems with time-varying time delay: stability and stabilizability |
| title_sort |
discrete-time systems with time-varying time delay: stability and stabilizability |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X |
| publishDate |
2006-01-01 |
| description |
<p>This paper deals with the class of linear discrete-time systems with varying time delay. The problems of stability and stabilizability for this class of systems are considered. Given an upper bound and a lower bound on the time-varying delay, sufficient conditions for checking the stability of this class of systems are developed. A control design algorithm is also provided. All the results developed in this paper are in the LMI formalism which makes their solvability easier using existing tools. A numerical example is provided to show the effectiveness of the established results.</p> |
| url |
http://www.hindawi.com/GetArticle.aspx?doi=10.1155/MPE/2006/42489 |
| _version_ |
1725468902695108608 |