摘要
动态系统K=AX,X(t_0)=X_0,若系数矩阵A为区间H-矩阵,则当A_(ii)<0时,系数矩阵A是稳定的。本文证明了这个命题并举例说明,对[1]的结果作了扩展,且方法简便。
The purpose of this paper is to prove the following theorem: for system X =AX, X(t0) = X0, if the coefficient matrix A is an interval H-matrix with Aii<0, then A is stable. Some examples are given for illustration. It is an extersion of [1],and provides a simple and convenient test for the stability of matrix A.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1990年第4期555-561,共7页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
