大系统集结比较方程的新方法

用向量Ｖ函数求解大系统稳定性要利用向量比较方程。对指数稳定型系统，本文改变了过去利用柯西不等式集结常系数线性比较方程的做法，直接集结出非线性比较方程，并利用文‘１’的结果判断稳定性，使参数稳定区域扩大。

A new Approach to Aggregate Comparison Equations for Large Scale Systems

To solve stability problem of large scale systems by using vector LIAPUNOV functions it is necessary to use vector comparison equations. The objective of this paper unlike previous works which limited to aggregations of linear comparison equations with constant coefficients by means of the Cauchy inequality is to give an approach to aggregate a type of nonlinear comparison equations. On the basis of the stability theorem given in 1], the stability regions obtained here are much larger than those in previous papers.