ABSTRACT
With the development of modern control theory and its permeation into other application area, one kind of systems with extensive form has appeared which form follows as:
where x Rn( )t ∈ is a n −state vector, u Rm( )t ∈ is a m −control input vector, E is a n n× matrix, it is usually singular. This kind of systems generally is called as the singular control systems. It appeared large in many areas such as the economy management, the electronic network, robot, bioengineering, aerospace industry and navigation and so forth. Singular large-scale control systems have a more practical background. At present, the some research results of the problem above are obtained in the references. The asymptotical stability and stabilization of the discrete singular large-scale control systems has been studied by using scalar sum Lyapunov function method in the references. This paper consider the state feedback stabilization of linear continuous singular large-scale control systems by introduce singular vector Lyapunov function method, and give a more large interconnecting parameters regions of stability.
