关键词: 无穷时滞, 不确定性, 微分－积分系统, 大系统, 鲁棒性, 镇定

Abstract: The robust stability of an uncertain large-scale integro-differential system with infinite delay was discussed．Sufficient conditions of robust global uniformly asymptotical stability of the system were obtained by utilizing Lozinskii’s matrix measure and differential inequality．These conditions are very pithy and verifiable‚and many kinds of matrix norms can be chosen when necessary with the needs in the application of the conditions．This research indicates that state feedback controller without delay can be chosen to guarantee the robust global uniformly asymptotical stability of integro-differential systems．A simulated example was proposed to illustrate the validity of the results．

Key words:  infinite delay, uncertainty, integro-differential system, large-scale system, robustness, stabilization