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Stability and Stabilizability of Switched Linear Systems: A Short Survey of Recent Results
 

Summary: Stability and Stabilizability of Switched Linear Systems:
A Short Survey of Recent Results
Hai Lin and Panos J. Antsaklis
Abstract-- During the last decade, there has been increasing
interest in the stability analysis and switching control design
for switched linear systems. This paper aims to briefly survey
recent results in this field, focusing on stability analysis and
switching stabilization problems. First, the stability analysis
problem for switched linear systems is reviewed. We focus
on the asymptotic stability analysis for switched linear sys-
tems under arbitrary switching, and highlight necessary and
sufficient conditions for this problem. Secondly, the switching
stabilization problem is studied, and a variety of switching
stabilization methods found in the literature are outlined. One
of the most elusive problems in the switched systems literature
has been the switching stabilizability problem, that is under
what condition it is possible to stabilize a switched system
by properly designing switching control laws. Necessary and
sufficient conditions for asymptotic stabilizability of switched
linear systems are described.

  

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

 

Collections: Engineering