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Canonical computational forms for AR 2-D systems

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Abstract

A canonical form for AR 2-D systems representations is introduced. This yields a method for computing the system trajectories by means of a line-by-line recursion, and displays some relevant information about the system structure such as the choice of inputs and initial conditions.

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References

  • Buchberger, B.: “Gröbner Bases: An Algorithmic Method in Polynomial Ideal Theory,” in N.K. Bose (ed.),Multidimensional Systems Theory, pp. 184–232, D. Reidel, 1985.

  • Rocha, P. and J.C. Willems: “State for 2-D system,”Linear Algebra and its Applications, vols. 122/123/124, pp. 1003–1038, 1989.

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  • Willems, J.C.: “From Time Series to Linear System—Part I. Finite Dimensional Linear Time Invariant Systems”:Automatica Vol. 22, 5, pp. 561–568, 1986.

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  • Willems, J.C.: “Models for Dynamics,”Dynamics Reported, vol. 2, pp. 171–269, 1989.

    Google Scholar 

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Partly supported by the Calouste Gulbenkian Foundation, Portugal.

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Rocha, P., Willems, J.C. Canonical computational forms for AR 2-D systems. Multidim Syst Sign Process 1, 251–278 (1990). https://doi.org/10.1007/BF01812400

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  • DOI: https://doi.org/10.1007/BF01812400

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