Several characterizations of finite memory and separability properties for a two-dimensional system are presented, in terms of both the characteristic polynomial and the matrix pair that describes the state evolution. Necessary and sufficient conditions for a finite memory or separable two-dimensional system to have an inverse with the same properties are given; these involve only the structure of the transfer matrix.

On the structure of finite memory and separable 2D systems

FORNASINI, ETTORE;VALCHER, MARIA ELENA
1994

Abstract

Several characterizations of finite memory and separability properties for a two-dimensional system are presented, in terms of both the characteristic polynomial and the matrix pair that describes the state evolution. Necessary and sufficient conditions for a finite memory or separable two-dimensional system to have an inverse with the same properties are given; these involve only the structure of the transfer matrix.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/103536
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