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Summary: F'roceedings of the 38'
Conferenceon Decision& Control
Phoenix,Arizona USA -December 1999
WeAOl 08:50
Stabilization of Second-Order LTI Switched Systems
Xuping Xu' and Panos J. Antsaklis
Department of Electrical Engineering
University of Notre Dame
Notre Dame, IN 46556, USA
{xxu, antsaklis.l}@nd.edu
Abstract
In this paper, the problem of asymptotically stabi-
lizing switched systems consisting of second-order LTI
subsystems is studied and solved. In a previous paper,
the stabilization problem of switched systems consisting
of subsystems with unstable foci was addressed. This
paper extends the method therein to the stabilization
of switched systems consisting of general second-order
LTI subsystems. Necessary and sufficient conditions for
stabilizability for such systems are obtained. Stabilizing
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