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...
| Format: | Article |
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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 |
| Summary: | <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> |
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| ISSN: | 1024-123X |