Abstract
The purpose of this communication is to provide a first insight into the prob lem of getting a recursive structure for two-dimensional filters via the algebraic realization theory. The line undertaken here has several points of contact with the algebraic realization theory of bilinear maps [1,2].
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References
R.E. Kalman: “Pattern recognition properties of multilinear machines”, IFAC Int. Symp. on Tech. and Biol.Prob. of Contr., Yerevan 1968
E.Fornasini, G. Marchesini; “On the internal structure of bilinear input/output maps”, in Geometric methods in System Theory, NATO A.S.I. 1973, D. Reidel Pub. Co.
M. Fliess: “Sur certaines familles de series formelles”, Thése Sc. Math., Univer site Paris V II, 1972.
S.Attasi; “Systèmes lineaires homogènes à deux indices”, IRIA Rapport n° 31, Sept. 1973.
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© 1975 Springer-Verlag Berlin · Heidelberg
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Fornasini, E., Marchesini, G. (1975). Algebraic Realization Theory of Two-Dimensional Filters. In: Ruberti, A., Mohler, R.R. (eds) Variable Structure Systems with Application to Economics and Biology. Lecture Notes in Economics and Mathematical Systems, vol 111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-47457-6_4
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DOI: https://doi.org/10.1007/978-3-642-47457-6_4
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Print ISBN: 978-3-540-07390-1
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