一类变系数线性系统解的稳定性

THE STABILITY OF A TYPE OF LINEAR SYSTEM WITH VARIABLE COEFFICIENTS

摘要: 本文引用向量、矩阵的模,采用纯量Liapunov函数法,得到了变系数线性大系统的零解渐近稳定的几个充分条件,即定理1、2和3,并通过严格的理论证明,对其各自的稳定性参数区域进行了比较。

Abstract: In this paper, several sufficiency condions to determine asymptotic stability of a large-scale system with variable coefficients are psented,i. e theorems 1,2 and 3 by using the norm of vector and matrix and scalar Liapunov functions. Then the stability parameter regions of theirs are compared with each other and the proof is given theoretically.