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308 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 54, NO. 2, FEBRUARY 2009 Stability and Stabilizability of Switched Linear
 

Summary: 308 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 54, NO. 2, FEBRUARY 2009
Stability and Stabilizability of Switched Linear
Systems: A Survey of Recent Results
Hai Lin, Member, IEEE, and Panos J. Antsaklis, Fellow, IEEE
Abstract--During the past several years, there have been in-
creasing 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 asymp-
totic 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 out-
lined. 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

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame

 

Collections: Engineering