Stability conditions of the small-gain type for a coupled weakly non-linear impulsive system with constant dwell-time

This article proposes two approaches to study the asymptotic stability of a non-linear coupled impulsive system with time-invariant subsystems. The first of them involves the use of the weighted maximum of components of a Lyapunov vector function, and the second one involves the use of Lyapunov vector function combine with the comparison method.