The sufficient condition that such a system can keep up its robustly asymptotic stability if the L2 gain is given is put forward,which is described by linear matrix inequality.

• 讨论了一类不确定多时滞切换混杂系统在任意切换条件下鲁棒渐近稳定的问题,提出了在给定L2增益的情况下系统能够保持鲁棒渐近稳定的充分条件,并采用线性矩阵不等式的形式进行描述。