A kind of nonnegative matrices and its application on the stability of discrete dynamical systems

被引：16

作者：

Xue Xiaoping ^{[1
]}

Guo Liang ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150006, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 331卷 / 02期

基金：

中国国家自然科学基金;

关键词：

nonnegative matrix; discrete dynamical system; stability;

D O I：

10.1016/j.jmaa.2006.09.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce a new kind of nonnegative matrices which is called (sp) matrices. We show that the zero solutions of a class of linear discrete dynamical systems are asymptotically stable if and only if the coefficient matrices are (sp) matrices. To determine that a matrix is (sp) matrix or not is very simple, we need only to verify that some elements of the coefficient matrices are zero or not. According to the result above, we obtain the conditions for the stability of several classes of discrete dynamical systems. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1113 / 1121

页数：9