The Analysis Of The Stability Of Singular Large-scale System

Stability is an important structure characteristic for control systems. It is a necessary condition of normal work for the systems, therefore, it is important to research the stability of the systems. Because of the complexity of the singular large-scale systems, the research of the stability of singular large-scale system is also a more difficult and challenging thing than common systems.In this paper , the main contribution lies in:(1) The first, we produce a new method to judge the stability of the singular large-scale systems by using matrix inequality. It not need to know the eigenvalue of some matrixs, therefore, it conveniently judges the stability of some singular large-scale systems.(2) The second, we study the stability for singular linear large-scale systems with unidirectional strong coupling among subsystems. The partial decomposing approach is applied to the stability analysis for the singular linear large-scale systems. It has advantage of judging the stability of some singular large-scale systems than the Lyapunov function method in the terms of the computational requirement .(3) The third,we study a new method to process the singular large-scale systems with uncertain parameters with the form of DF (t )H.