Connective stability of a kind of singular nonlinear large-scale dynamical systems

It is important content that the studying connective stability among the stability studying of the large-scale interconnected systems. The many results recently have been given for the normal systems, the studying result of the singular large scale systems, however, is a little. The paper discussed the connective stability of a kind of nonlinear singular large-scale dynamical systems by means of singular Lyapunov equation and vector Lyapunov function. A stable domain of connective parameters is given in the paper which is simple in form. At last we give an example to show the usage of the method and its efficiency.