SIFAT-SIFAT SPEKTRAL DAN STRUKTUR KOMBINATORIK PADA SISTEM POSITIF 2D
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.
Penulis: RUDY WOLTER MATAKUPAN
Kode Jurnal: jpmatematikadd110033
