广义离散线性大系统的稳定性分析

Stability Analysis for Singular Discrete Linear Largescale Systems

广义大系统的稳定性是一个非常重要的问题。由于广义大系统的复杂性 ,对其稳定性的研究也是一件相当困难的事情。孤立的子系统的稳定性与线性大系统的稳定性之间的关系问题是一个非常有意义的问题 ,该文从广义线性大系统的等价变换和等价系统入手 ,应用标量和的Lyapunov函数法 ,研究了广义离散线性大系统的渐近稳定性和不稳定性 ,获得了系统的关联参数的稳定域和不稳定域。

The stability for singular largescale system is an important issue. The is sta bility difficult to be studied because singular largescale system is a very co mplicated one. It is also worthy issue for the relation between the stable subs ystem and stable linear largescale system.This paper analyzes the s ingular di s crete linear largescale system by equivalent transformation method, equ i valent system and scalar sum Lyapunov function. The interconnecting parameter re gions of asymptotic stability and unstability for singular discrete linear large scale system are obtained.