A characterization of spectral abscissa and Perron-Frobenius theorem of positive linear functional differential equations

被引：12
作者：
Ngoc, Pham Huu Anh
Lee, Byung-Soo
机构：
[1] Hue Univ, Dept Math, Hue City, Vietnam
[2] Kyungsung Univ, Dept Math, Pusan 608736, South Korea
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2006年 / 23卷 / 03期
关键词：
Perron-Frobenius theorem; functional differential equation; positive system; stability of linear system;
D O I：
10.1093/imamci/dni057
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we give a characterization of spectral abscissa of positive linear functional differential equations. Then the obtained result is applied to derive necessary and sufficient conditions for the exponential stability of positive linear functional differential equations. Finally, we give an extension of the classical Perron-Frobenius theorem to positive linear functional differential equations.
引用
收藏
页码：259 / 268
页数：10
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