Stabilization of Dynamical Networks via Constrained Impulse Inputs

Abstract

In this paper, the problem of exponential stabilization for dynamical networks with impulsive input constraints is investigated. Because of the existence of impulse input constraints, the analysis of impulsive control system is much varying from the constraint-free case. By means of matrix measure theory and convex analysis, we deduce the sufficient conditions for the locally exponential stabilization. An numerical example with simulations is provided to demonstrate the efficacy of the theoretical results.