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Summary: Proceedings of the American Control Conference
San Diego, California June 1999
Robust Stabilizing Control Laws for a Class of Second-order
Switched Systems
Bo Hu Xuping Xu Anthony N. Michel Panos J. Antsaklis
Department of Electrical Engineering
University of Notre Dame
Notre Dame, IN 46556, U.S.A.
Abstract
For a class of second-order switched systems consisting
of two linear time-invariant (LTI) subsystems, we show that
the so-called conzc switching law proposed previously by the
present authors is robust, not only in the sense that the con-
trol law is fIezible (to be explained further), but also in the
sense that the Lyapunov stability (resp., Lagrange stability)
properties of the switched system are preserved in the pres-
ence of certain kinds of vanishing perturbations (resp., non-
vanishing perturbations). The analysis is possible since the
conic switching laws always possess certain kinds of "quasi-
periodic switching operations".
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