具有无穷时滞的不确定大系统的鲁棒镇定

Robust Stabilization of Uncertain Large-scale System with Infinite Delay

讨论具有无穷时滞的不确定微分 -积分大系统鲁棒稳定性问题 ,利用Lozinskii矩阵测度和微分不等式 ,获得了系统鲁棒全局一致渐近稳定的充分条件 .所得结果条件简洁 ,易于验证 ,并且在实际应用中 ,可以根据不同的需要选取相应的矩阵范数 .研究表明 ,可以选择与时滞无关的状态反馈控制器 ,使系统是鲁棒全局一致渐近稳定的 .

The robust stability of an uncertain large-scale integro-di ff erential system with infinite delay was discussed. Sufficient conditions of robu st global uniformly asymptotical stability of the system were obtained by utiliz ing Lozinskii's matrix measure and differential inequality. These conditions ar e very pithy and verifiable, and many kinds of matrix norms can be chosen when n ecessary with the needs in the application of the conditions. This research ind icates that state feedback controller without delay can be chosen to guarantee t he robust global uniformly asymptotical stability of integro-differential syste ms. A simulated example was proposed to illustrate the validity of the results.