Summary: Proceedingsof the 38"'
Conferenceon Decision & Control
Phoenix,Arizona USA December 1999
STABILITY ANALYSIS FOR A CLASS OF NONLINEAR
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
In the present paper, we study several qualitative
properties of a class of nonlinear switched systems un-
der certain switching laws. First, we show that if all
the subsystems are linear time-invariant and the sys-
tem matrices are commutative componentwise and sta-
ble, then the entire switched system is globally expo-
nentially stable under arbitrary switching laws. Next,
we study the above linear switched systems with certain
nonlinear perturbations, which can be either vanishing
or non-vanishing. Under reasonable assumptions, global

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

Collections: Engineering