Abstract | ||
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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 |
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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 Wang | 1 | 4 | 0.72 |
Xiaoming Chen | 2 | 301 | 28.67 |
Jun Shen | 3 | 115 | 12.16 |