中文摘要：

首先利用多Lyapunov函数方法，分析常时滞切换系统的时滞依赖稳定性，并给出此系统时滞依赖稳定的充分条件及切换律的设计；然后运用共同Lyapunov函数方法，研究一类时变时滞切换系统的时滞依赖稳定性，也给出此系统时滞依赖稳定的充分条件及切换律的设计．所得结果均可用线性矩阵不等式方法求解．最后通过仿真验证了结论的正确有效性．

英文摘要：

First, the delay-dependent stability of switched linear systems with time-invariant delays is studied by using multiple Lyapunov function methods. The sufficient conditions of the delay-dependent stability and the design method of the switching law are developed. Then the stability of a class of switched systems with time-varying delays is analyzed by utilizing common Lyapunov function methods. The sufficient condition of the delay-dependent stability and the design method of the switching law are also determined. All results are obtained by using the linear-matrix-inequality method. The conclusions are proved to be valid by simulation.