Summary
This communication discusses some aspects of the problem of constructing dynamical models of 2D input/output maps. In the first part a finite array of data is given, and a recursive algorithm is provided for generating the whole class of minimum degree transfer functions, whose series expansion fits the data window. In the second part a 2D input/output map is completely assigned, via a rational transfer function in two indeterminates. Some algebraic properties of its state space realizations are investigated, and related to the structure of noncommutative power series.
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© 1991 Springer Science+Business Media New York
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Bisiacco, M., Fornasini, E., Zampieri, S. (1991). Realization and partial realization of 2D input/output maps. In: New Trends in Systems Theory. Progress in Systems and Control Theory, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0439-8_14
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DOI: https://doi.org/10.1007/978-1-4612-0439-8_14
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6760-7
Online ISBN: 978-1-4612-0439-8
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