Stability and stabilization of continuous descriptor systems: an LMI approach
<p>This paper deals with the problems of robust stability and stabilization for uncertain continuous descriptor systems. We propose a new necessary and sufficient condition in terms of a strict linear matrix inequality (LMI) for a nominal continuous descriptor system to be admissible (stable,...
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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/2006/39367 |
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doaj-4bfb97af505f4094814ee9ec5eac568d2020-11-24T23:50:21ZengHindawi LimitedMathematical Problems in Engineering1024-123X2006-01-012006Stability and stabilization of continuous descriptor systems: an LMI approach<p>This paper deals with the problems of robust stability and stabilization for uncertain continuous descriptor systems. We propose a new necessary and sufficient condition in terms of a strict linear matrix inequality (LMI) for a nominal continuous descriptor system to be admissible (stable, regular, and impulse-free). Based on this, the state-feedback admissibility problem is solved and the solution is extended to the case of uncertain descriptor systems. Finally, numerical examples are given to illustrate the results.</p>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/MPE/2006/39367 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| title |
Stability and stabilization of continuous descriptor systems: an LMI approach |
| spellingShingle |
Stability and stabilization of continuous descriptor systems: an LMI approach Mathematical Problems in Engineering |
| title_short |
Stability and stabilization of continuous descriptor systems: an LMI approach |
| title_full |
Stability and stabilization of continuous descriptor systems: an LMI approach |
| title_fullStr |
Stability and stabilization of continuous descriptor systems: an LMI approach |
| title_full_unstemmed |
Stability and stabilization of continuous descriptor systems: an LMI approach |
| title_sort |
stability and stabilization of continuous descriptor systems: an lmi approach |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X |
| publishDate |
2006-01-01 |
| description |
<p>This paper deals with the problems of robust stability and stabilization for uncertain continuous descriptor systems. We propose a new necessary and sufficient condition in terms of a strict linear matrix inequality (LMI) for a nominal continuous descriptor system to be admissible (stable, regular, and impulse-free). Based on this, the state-feedback admissibility problem is solved and the solution is extended to the case of uncertain descriptor systems. Finally, numerical examples are given to illustrate the results.</p> |
| url |
http://www.hindawi.com/GetArticle.aspx?doi=10.1155/MPE/2006/39367 |
| _version_ |
1725479078716243968 |