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Judul:	Sifat-sifat Spektral dan Struktur Kombinatorik Pada Sistem Positif 2D
Penulis:	Rudy Wolter Matakupan \|\| email: rwmatakupan@yahoo.com
Jurnal:	Barekeng Vol. 5 no. 1 - hal. 21-27 Tahun 2011 [ MIPA ]
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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