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A 2-D systems approach to river pollution modelling

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Abstract

The paper presents some applications of 2-D systems theory to the problem of modeling the river pollution processes and the associated selfpurification phenomena. The dynamical evolution of the biological oxygen demand (BOD) and the dissolved oxygen (DO) in a one-dimensional river model is discussed under various physical assumptions.

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References

  • S. Rinaldi, R. Soncini Sessa, H. Stehfest, and H. Tamura,Modeling and Control of River Quality, McGraw Hill: New York, 1979.

    Google Scholar 

  • G.M. Fair, J. Geyer,Water Supply and Waste Water Disposal, J. Wiley: New York, 1965.

    Google Scholar 

  • N.K. Bose,Multidimensional Systems Theory, Reidel. Dordrecht, The Netherlands. 1985.

    Google Scholar 

  • E. Fornasini, G. Marchesini, “Structure and properties of 2D systems inMultidimensional Systems: Theory and Applications, (S. Tzafestas ed.), M. Dekker. New York, N.Y. 1983.

    Google Scholar 

  • R. Eising, “2-D Systems, an Algebraic Approach,” Thesis, Mathematisch Centrum, Amsterdam, 1979.

    Google Scholar 

  • N.K. Bose (editor)Multidimensional Signal Processing, Special issue of IEEE Proceedings, 1990.

  • M. Bisiacco, E. Fornasini, G. Marchesini, “Dynamic regulation of 2D systems: a state space approach,”Linear Alg. Appl., 122–24, pp. 195–218, 1989.

    Article  Google Scholar 

  • A. Attasi,Systèmes linéaires homogènes à deux indices, Rap. Laboria, 31, 1973.

  • R.P. Roesser, A discrete state space model for linear image processing,IEEE Trans. Aut. Contr., AC-20, pp. 1–10, 1975.

    Article  Google Scholar 

  • E. Fornasini, G. Marchesini, State space realization of two dimensional filters,IEEE Trans. Aut. Contr., AC-21, pp. 489–92, 1976.

    Google Scholar 

  • K. Knopp,Infinite Sequences and Series, Dover, New York, N.Y. 1956.

    Google Scholar 

  • T.C. Mullis and A.R. Roberts,Digital Signal Processing, Addison Wesley: Reading, 1987.

    Google Scholar 

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Authors and Affiliations

  1. Department of Electronics and Computer Science, University of Padova, 6/A, via Gradenigo, 35131, Padova, Italy

    Ettore Fornasini

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  1. Ettore Fornasini
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Fornasini, E. A 2-D systems approach to river pollution modelling. Multidim Syst Sign Process 2, 233–265 (1991). https://doi.org/10.1007/BF01952235

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  • DOI: https://doi.org/10.1007/BF01952235

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