Stability radii of positive linear systems under affine parameter perturbations in infinite dimensional spaces

被引：10

作者：

Anh, Bui The ^{[1
]}

Son, Nguyen Khoa ^{[2
]}

机构：

[1] Univ Pedag, Dept Math, Ho Chi Minh City, Vietnam

[2] Inst Math, Hanoi 10307, Vietnam

来源：

POSITIVITY | 2008年 / 12卷 / 04期

关键词：

Positive difference equations; affine parameter perturbations; stability radius;

D O I：

10.1007/s11117-008-2113-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the stability radii of positive linear discrete system under arbitrary affine parameter perturbations in infinite dimensional spaces. It is shown that complex, real, and positive stability radii of positive systems coincide. More importantly, estimates and computable formulas of these stability radii are also derived. The results are then illustrated by a simple example. The obtained results are extensions of the recent results in [3].

引用

页码：677 / 690

页数：14

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