时变区间矩阵稳定的充要条件  

THE NECESSARY AND XUFFICIENT CONDITION FORSTABILITY OF TIME-VARYING INTERVAL MATRICES

作　　者：阎恩让[1] 

机构地区：[1]宝鸡文理学院数学系

出　　处：《宝鸡文理学院学报（自然科学版）》1994年第2期7-10,共4页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

摘　　要：本文讨论了一般ｎ阶时变区间矩阵的稳定性问题，采用迭代分析法得到了一类时变区间矩阵稳定的充分必要条件，实现了用区间端点矩阵的稳定来判别时变区间矩阵的稳定。推广了一般区间矩阵及二阶时变区间矩阵的有关概念及结论。Let L=(lij)nxn,H=(hij)nxn,The set of time-varying Matrice T(t) (L,H)={A (t)=i,j=1,2,…n} is called a time-Varying IntervelMatrice.This paper mainly digcusses the stadihity of time-Varying imtervel matrice T(t) (L, H).and gives a necessary and suffcient condtion for stability of T(t) (L,H),by iterative anylysis method. It develops some results and concopts of the preriouspapors.

关 键 词：时变区间矩阵 稳定性 充要条件 

分 类 号：O151.21[理学—数学]