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Proceedingsof the American Control Conference San Diego, California June 1999

Summary: Proceedingsof the American Control Conference
San Diego, California June 1999
On the Reachability of a Class of Second-Order 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
In this paper, the reachability problem for a class of
second-order LTI switched systems is solved. The reachabil-
ity problem is first explored for switched systems consisting
of two subsystems and switching control laws are proposed
that can drive the system state from an initial point to a
target point via finitely many switches. The method is then
extended to the case of several subsystems. The relationship
between stabilizability and reachability is also addressed.
1 Introduction
A switched system is a system that consists of several
subsystems and a switching law that specifies which subsys-


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


Collections: Engineering