Robust stability of uncertain discrete impulsive systems

This brief studies uncertain discrete impulsive systems. The robustly asymptotical stability criteria are established for linear discrete impulsive system and a class of uncertain nonlinear discrete impulsive systems, respectively. These stability criteria are expressed in terms of fairly simple algebraic conditions so that they are easy to be tested. Some examples are given to illustrate results obtained by us. Index Terms--Discrete impulsive system, Lyapunov function, robustly asymptotical stability, uncertainty.