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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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