大系统渐近稳定的向量V函数法

The Vector V-Functions Method of the Asymptotic Stability for the Large-Scale Systems

利用分解集结和向量Ｖ函数法解大系统的渐近稳定性问题是一种十分有效的方法，但过去一般限于集结成常系数线性比较方程，得到的只是指数稳定．本文研究了非线性比较方程的构造方法，给出了比较方程稳定性的判定定理，并举例说明其用处．

Using decomposition-aggregation and vector V-functions to solve stability problem of largescale systems is an important and effective method. But in the past, it was always limited to aggregate the linear comparison equation with constant coeffecients and only the exponential stability might be determinted. In this paper, the methods to construct nonlinear comparison equations in more general form are studied, criteria of the stability for nonlinear comparison equations are obtained and usage of the Vector Vfunctions method is illustrated by some examples.