Impulsive Stabilization of a Class of Nonlinear Differential Systems with Time-Varying Delay

摘要

In this paper, the problem of impulsive control of nonlinear time-varying delay differential systems is investigated. The definitions for impulsive exponential stabilization and periodically impulsive exponential stabilization are presented. The sufficient conditions for these two kinds of stabilizations are obtained by constructing appropriate Lyapunov function. Furthermore, the design method for impulsive controller which is a linear function about system state is given. Numerical examples are presented to illustrate the effectiveness of the control scheme.