Stability and stabilization of continuous-time singular hybrid systems
Date
2009
Authors
Xia, Y.
Boukas, E.
Shi, P.
Zhang, J.
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Journal article
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Automatica, 2009; 45(6):1504-1509
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Yuanqing Xia, El-Kebir Boukas, Peng Shi, Jinhui Zhang
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Abstract
In this paper, the problems of stability and state feedback stabilization for a class of continuous-time singular hybrid systems are investigated. A new sufficient and necessary condition for a continuous-time singular hybrid system to be regular, impulse-free and stochastically stable is proposed in terms of a set of coupled strict linear matrix inequalities (LMIs). Moreover, a new sufficient and necessary condition is presented for the existence of the state feedback controller in terms of a set of coupled strict matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the obtained theoretical results. © 2009 Elsevier Ltd. All rights reserved.
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Copyright © 2009 Elsevier Ltd. All rights reserved.