On stability of a class of positive linear functional difference equations

被引：9

作者：

Ngoc, Pham Huu Anh ^{[1
]}

Naito, Toshiki ^{[1
]}

Shin, Jong Son ^{[1
]}

机构：

[1] Univ Electrocommun, Tokyo 1828585, Japan

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2007年 / 19卷 / 04期

关键词：

linear functional difference equation; positive system; exponential stability; stability radius; PERRON-FROBENIUS THEOREM; RADII; SYSTEMS;

D O I：

10.1007/s00498-007-0018-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We first give a sufficient condition for positivity of the solution semigroup of linear functional difference equations. Then, we obtain a Perron-Frobenius theorem for positive linear functional difference equations. Next, we offer a new explicit criterion for exponential stability of a wide class of positive equations. Finally, we study stability radii of positive linear functional difference equations. It is proved that complex, real and positive stability radius of positive equations under structured perturbations (or affine perturbations) coincide and can be computed by explicit formulae.

引用

页码：361 / 382

页数：22

共 41 条

[1] Extension of the Perron-Frobenius theorem to homogeneous systems [J].