AN UPPER BOUND ON THE REACHABILITY INDEX FOR A SPECIAL CLASS OF POSITIVE 2-D SYSTEMS

被引：4

作者：

Bailo, Esteban ^{[1
]}

Gelonch, Josep ^{[1
]}

Romero-Vivo, Sergio ^{[2
]}

机构：

[1] Univ Lleida, Dept Matemat, Lleida 25198, Spain

[2] Univ Politecn Valencia, Dept Matemat Aplicada, Inst Matemat Multidisciplinar, E-46071 Valencia, Spain

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2009年 / 18卷

关键词：

Hurwitz products; Influence digraph; Local reachability index; Nonnegative matrices; Positive two-dimensional (2-D) systems; Reachability; CONTROLLABILITY;

D O I：

10.13001/1081-3810.1289

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The smallest number of steps needed to reach all nonnegative local states of a positive two-dimensional (2-D) system is the local reachability index of the system. The study of such a number is still an open problem which seems to be a hard task. In this paper, an expression depending on the dimension n as well as an upper bound on the local reachability index of a special class of systems are derived. Moreover, this reachability index is greater than any other bound proposed in previous literature.

引用

页码：1 / 12

页数：12

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