Title
ℓ1-induced norm and characterisation synthesis for 2-D positive system
Abstract
This paper is devoted to the analysis of the ℓ1-induced norm and proposes a novel characterization for 2-D positive systems. As we know that the most popular models of 2-D linear systems were introduced by Roesser, Fornasini and Marchesini. For those two models, an analytical method to compute the exact value of ℓ1-induced norm is first presented. Then, on the basis of these results, a novel characterization for stability and ℓ1-induced performance is proposed for 2-D positive systems. Those characterization are formulated in the form of linear programming (LP). Finally, the theoretical results are illustrated through a numerical example.
Year
DOI
Venue
2020
10.1016/j.jfranklin.2020.04.050
Journal of the Franklin Institute
DocType
Volume
Issue
Journal
357
13
ISSN
Citations 
PageRank 
0016-0032
2
0.36
References 
Authors
0
3
Name
Order
Citations
PageRank
Liqun Wang140.72
Xiaoming Chen230128.67
Jun Shen311512.16