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Stability and stabilization of continuous-time singular hybrid systems |
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| Authors: | Yuanqing Xia [Author Vitae] El-Kebir Boukas [Author Vitae] Jinhui Zhang [Author Vitae] |
| Affiliation: | a Department of Automatic Control, Beijing Institute of Technology, Beijing 100081, China b Mechanical Engineering Department, École Polytechnique de Montréal, P.O. Box 6079, Station “centre-ville”, Montréal, Québec, Canada H3C 3A7 c Faculty of Advanced Technology, University of Glamorgan, Pontypridd, CF37 1DL, United Kingdom d ILSCM, School of Engineering and Science, Victoria University, Melbourne, Vic 8001, Australia |
| 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. |
| Keywords: | Stochastically stable Linear matrix inequality (LMI) Markovian jump systems Singular systems |
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