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.
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页码：1 / 12
页数：12
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