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On the representation of 2-D systems. (English) Zbl 0746.93016
Summary: 2-D systems are here considered from a behavioral point of view. The main purpose is to express structural properties of behaviours in terms of their mathematical descriptions. Special attention is paid to two kinds of controllability which will be defined as properties of the system signals.

MSC:
93B05 Controllability
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References:
[1] B. C. Lévy: 2-D Polynomial and Rational Matrices, and their Applications for the Modelling of 2-D Dynamical Systems. Stanford University Technical Report No. M 753-11, June 1981.
[2] P. Rocha, J. C. Willems: State for 2-D systems. Linear Algebra Appl. 122/123/124(1989), 1003-1038. · Zbl 0679.93002 · doi:10.1016/0024-3795(89)90683-6
[3] P. Rocha, J. C. Willems: Controllability of 2-D systems. IEEE Trans. Automat. Control · Zbl 0753.93008 · doi:10.1109/9.75100
[4] J. C Willems: Models for Dynamics. Dynamics Reported, No. 2 (U. Kirchgraber, H. O. Walter, Wiley, New York 1989, pp. 171-269. · Zbl 0685.93002
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