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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
MATAKUPAN, RUDY WOLTER
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Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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PENDEKATAN SISTEM 2D MODEL STREETER-PHELPS UNTUK MODEL POLUSI SUNGAI MATAKUPAN, RUDY WOLTER
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 5 No 1 (2011): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1087.507 KB) | DOI: 10.30598/barekengvol5iss1pp1-8

Abstract

Applications to positive 2D system can follow Steeter-Phelps model to river flow model. bymodifying the discrete values. mathematical model structure provided by the river flow at timestep t is proportional to the length of rivers and water velocity. The variables that influence isDissolved oxygen (DO) and Biological oxygen demand (BOD), both these variables arecalculated by balance considerations equetion with the screening process, the process ofreaeration, and the source of BOD established a mathematical model of positive 2D systems
SIFAT-SIFAT SPEKTRAL DAN STRUKTUR KOMBINATORIK PADA SISTEM POSITIF 2D MATAKUPAN, RUDY WOLTER
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 5 No 1 (2011): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1266.593 KB) | DOI: 10.30598/barekengvol5iss1pp21-27

Abstract

The dynamics of a 2D positive system depends on the pair of nonnegative square matrices thatprovide the updating of its local states. In this paper, several spectral properties, like finitememory, separablility and property L, which depend on the characteristic polynomial of thepair, are investigated under the nonnegativity constraint and in connection with thecombinatorial 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 twononnegative matrices with irreducible sum. Finally, some results on 2D positive realizationsare presented
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