Guaranteed-cost-control of a class of impulsive systems with parametric uncertainties
一类参数不确定脉冲系统的保成本控制研究

A sufficient condition for the uniformly asymptotically stability of linear time-varying impulsive systems is obtained based on the recent stability results of impulsive systems.Moreover,the guaranteed-cost-control problem via state feedback controller is studied for a class of impulsive systems with parametric uncertainties.A sufficient condition for the existence of this guaranteed-cost state feedback controller is then presented in terms of the Lyapunov stability theory and robust control principles.Furthermore,it is shown that this condition is equivalent to the solvability problem of a system of linear matrix inequalities according to some existing conclusions on the norm-bounded time-varying parameter uncertainty. Finally,a numerical example is given to support the main results of this paper.