Periodic asymptotic controllability of switched systems

Abstract

This paper deals with the dynamical behavior of
switched systems, formed by a finite number of linear vector
fields. In particular, we review and present in a systematic way
some definitions and some results, representing useful tools for
the investigation of the stability properties. We also provide a
thoughtful comparison among the notions of loss and gain of
stability, and asymptotic controllability at the origin and at the
infinity. Finally we examine a number of new examples.