Delay-dependent stability of switched linear systems with time-delay
时滞切换系统的时滞依赖稳定

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.