Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/83528
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Type: Journal article
Title: Stability and stabilization of continuous-time singular hybrid systems
Author: Xia, Y.
Boukas, E.
Shi, P.
Zhang, J.
Citation: Automatica, 2009; 45(6):1504-1509
Publisher: Pergamon-Elsevier Science Ltd
Issue Date: 2009
ISSN: 0005-1098
Statement of
Responsibility: 
Yuanqing Xia, El-Kebir Boukas, Peng Shi, Jinhui Zhang
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.
Keywords: Stochastically stable
Linear matrix inequality (LMI)
Markovian jump systems
Singular systems
Rights: Copyright © 2009 Elsevier Ltd. All rights reserved.
DOI: 10.1016/j.automatica.2009.02.008
Published version: http://dx.doi.org/10.1016/j.automatica.2009.02.008
Appears in Collections:Aurora harvest 4
Electrical and Electronic Engineering publications

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