Stability and stabilization of continuous-time singular hybrid systems

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Xia, Yuanqing, Boukas, El-Kébir, Shi, Peng and Zhang, Jinhui (2009) Stability and stabilization of continuous-time singular hybrid systems. Automatica, 45 (6). pp. 1504-1509. ISSN 0005-1098

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.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/4705
DOI	10.1016/j.automatica.2009.02.008
Official URL	http://www.sciencedirect.com/science/article/pii/S...
Subjects	Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM) Historical > FOR Classification > 0906 Electrical and Electronic Engineering Historical > SEO Classification > 970109 Expanding Knowledge in Engineering
Keywords	ResPubID17661, stochastically stable, linear matrix inequality (LMI), Markovian jump systems, singular systems
Citations in Scopus	284 - View on Scopus
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