SIFAT-SIFAT SPEKTRAL DAN STRUKTUR KOMBINATORIK PADA SISTEM POSITIF 2D

  • RUDY WOLTER MATAKUPAN Jurusan Matematika FMIPA UNPATTI
Keywords: Finite Memory, 2D positive system, Separability, property L, Spectral properties

Abstract

The dynamics of a 2D positive system depends on the pair of nonnegative square matrices that
provide the updating of its local states. In this paper, several spectral properties, like finite
memory, separablility and property L, which depend on the characteristic polynomial of the
pair, are investigated under the nonnegativity constraint and in connection with the
combinatorial structure of the matrices.
Some aspects of the Perron-Frobenius theory are extended to the 2D case; in particular,
conditions are provided guaranteeing the existence of a common maximal eigenvector for two
nonnegative matrices with irreducible sum. Finally, some results on 2D positive realizations
are presented

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Published
2018-01-25
How to Cite
[1]
R. MATAKUPAN, “SIFAT-SIFAT SPEKTRAL DAN STRUKTUR KOMBINATORIK PADA SISTEM POSITIF 2D”, BAREKENG, vol. 5, no. 1, pp. 21-27, Jan. 2018.