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Title: Stability and stabilizability of switched linear systems: A survey of recent results
Authors: Lin, H. 
Antsaklis, P.J.
Keywords: Lyapunov function
Switched systems
Issue Date: 2009
Citation: Lin, H., Antsaklis, P.J. (2009). Stability and stabilizability of switched linear systems: A survey of recent results. IEEE Transactions on Automatic Control 54 (2) : 308-322. ScholarBank@NUS Repository.
Abstract: During the past several years, there have been increasing research activities in the field of stability analysis and switching stabilization for switched systems. This paper aims to briefly survey recent results in this field. First, the stability analysis for switched systems is reviewed. We focus on the stability analysis for switched linear systems under arbitrary switching, and we highlight necessary and sufficient conditions for asymptotic stability. After a brief review of the stability analysis under restricted switching and the multiple Lyapunov function theory, the switching stabilization problem is studied, and a variety of switching stabilization methods found in the literature are outlined. Then the switching stabilizability problem is investigated, that is under what condition it is possible to stabilize a switched system by properly designing switching control laws. Note that the switching stabilizability problem has been one of the most elusive problems in the switched systems literature. A necessary and sufficient condition for asymptotic stabilizability of switched linear systems is described here. © 2009 IEEE.
Source Title: IEEE Transactions on Automatic Control
ISSN: 00189286
DOI: 10.1109/TAC.2008.2012009
Appears in Collections:Staff Publications

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