Stability analysis of a class of non-simultaneous interconnected impulsive systems

摘要

This paper provides sufficient conditions for input-to-state stability of two interconnected nonlinear impulsive systems whose jump instants are not necessarily identical. Unlike prior results, each subsystem is allowed to possess stabilizing or destabilizing flows. In this regard, a candidate exponential input-to-state stable (ISS) Lyapunov function is constructed for the overall system. Then, by bounding the trajectory, for each possible combination of impulsive subsystems, sufficient conditions are presented which ensure input-to-state stability of the interconnected system. Furthermore, to render the newly-derived conditions less conservative, the coefficients of the candidate exponential ISS Lyapunov function of each subsystem are considered to be time-varying. The applicability of the theoretical outcomes is verified through some numerical examples. (C) 2019 Elsevier B.V. All rights reserved.