Based on multiple Lyapunov functions theory, a sufficient condition in form of linear matrix inequalities is derived for the asymptotic stability under arbitrary switching laws.

• 采用多李雅普诺夫函数法，首先以线性矩阵不等式形式给出了在任意切换信号作用下离散时滞切换系统渐进稳定的一个充分性条件；