Abstract

We consider a class of linear differential equations with impulse effect at a given set of times. We show that under general assumptions on existence of forward solutions, like persistence and noninvertibility of the impulses, a generalization of Wazewski's inequality can be naturally given in terms of Moore-Penrose pseudoinverses, yielding among other applications, refined versions of Lyapunov stability conditions for this class of systems with impulses © Dynamic Publishers, Inc.