On the asymptotic equivalence of systems with impulse effect (Q1119808)

In continuation of a former paper [Syst. Control Lett. 3, 297-301 (1983; Zbl 0529.93050)] the authors consider the system \(\dot x(t)=Ax+f(t,x),\) \(t\neq \tau_ k\), with the impulse effects \(x(\tau_ k+0)-x(\tau_ k)=Bx(\tau_ k)+b_ k(x(\tau_ k)),\) \(k=1,2,...,\tau_ k\nearrow \infty\). For left continuous solutions there are given sufficient conditions concerning the (partially restricted) asymptotic equivalence to the corresponding linear case.