分布时滞离散系统的全局鲁棒稳定性准则

摘要

The global asymptotic stability of discrete-time system with distributed delays is investigated. Using the Lyapunov stability theory and LMIs approaches, delay-dependent criteria are derived to ensure the global robust asymptotic stability of the addressed system in the mean square for all admissible parameter uncertainties. A numerical example is given to illustrate the effectiveness of our result.%研究了具有分布时滞的离散系统的全局渐进鲁棒稳定性.依据李雅普诺夫方法,和线性矩阵不等式的方法,得到了参数不确定时滞相关的全局均方渐进稳定性准则.最后,给出一个数值实例演示得到结果的有效性和可行性.