PENDEKATAN SISTEM 2D MODEL STREETER-PHELPS UNTUK MODEL POLUSI SUNGAI

• RUDY WOLTER MATAKUPAN Jurusan Matematika FMIPA UNPATTI
Keywords: Positive Systems 2D, Steeter-Phelps model

Abstract

Applications to positive 2D system can follow Steeter-Phelps model to river flow model. by
modifying the discrete values. mathematical model structure provided by the river flow at time
step t is proportional to the length of rivers and water velocity. The variables that influence is
Dissolved oxygen (DO) and Biological oxygen demand (BOD), both these variables are
calculated by balance considerations equetion with the screening process, the process of
reaeration, and the source of BOD established a mathematical model of positive 2D systems

References

Bose, N.K., 1982, Applied Multidimentional system Theory, Van Nostrand Reinhold, New York
Bisiacco, M., 1985, State and output feedback stabilizability of 2D systems, IEEE Trans. Circ. Sys., vol CAS-32, pp. 1246-54.
Fornasini,E. and Machesini,G., 1976, State-Space Realization Theory Of Two-Demensional Filters, IEEE Trans.Aut.Contr,vol.AC-21,484-492.
Fornasini,E. and Machesini,G., 1978, Doubly-Indexed Dynamical systems : State-Space Models and Tructural Properties, Math.Systems .Teory, vol. 12, 59-72.
Fornasini,E., Marchesini,G., and Valcher,M.E., 1994, On The Structure of Finite Memory and Separable Two-Dimensional Systems, Automatica, vol. 30, 347-350.
Fornasini,E., and Valcher,M.E.,1994, Matrix Pairs in Two-Dimensional Systems : an Approach Based on Trace Series an Hankel Matrices, to appear in SIAM J. Contr.Opt.
Fornasini,E., 1991, A 2D systems approach to river pollution modelling, Multid. Sys. Sign. Process., 2, pp.233-65
Luenberger, D.G., Introduction to dynamical systems, J. Wiley & Sons Inc., 1979.
Motzkin,T.S., and Taussky,O., 1952, Pairs of Matrices With property L(1), Trans.Amer.Scc., vol.73. 108-114.
Orlob, G.T,. 1983, Mathematical Modeling of Water Quality: Steams, Lakes, dan Reservoirs, International Institute for Applied Systems Analysis.
Valcher,M.E., and Fornasini,E., 1994, State Models and Asymptotic Behavior of Two-Dimensional Positive Systems, to Appear in IMA J. of Appl.Math.
Published
2011-03-01
How to Cite
[1]
R. MATAKUPAN, “PENDEKATAN SISTEM 2D MODEL STREETER-PHELPS UNTUK MODEL POLUSI SUNGAI”, BAREKENG: J. Il. Mat. & Ter., vol. 5, no. 1, pp. 1-8, Mar. 2011.
Section
Articles