On the stability of two-dimensional state-space systems: A special case

1984 ◽  
Vol 32 (4) ◽  
pp. 921-922 ◽  
Author(s):  
K. Fernando ◽  
H. Nicholson
2007 ◽  
Vol 2007 ◽  
pp. 1-5
Author(s):  
M. S. Boudellioua

Two-dimensional state-space systems arise in applications such as image processing, iterative circuits, seismic data processing, or more generally systems described by partial differential equations. In this paper, a new direct method is presented for the polynomial realization of a class of noncausal 2D transfer functions. It is shown that the resulting realization is both controllable and observable.


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