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This paper presents a new constructive procedure for coprime realization of 2-D systems by means of the Fornasini-Marchesini second (FM-II) local state-space model. By exploiting the structural properties of an FM-II model realization, the proposed method can reduce the upper bound on the realization order for a large class of 2-D systems to about half of that obtained by the realization procedure...
It is well known that, unlike the ID case, it is not always possible to find a minimal state-space realization for a general 2D filter or system described by a transfer function except for some particular categories. The purpose of this paper is to explore the possibility of minimal Roesser model realization for a class of 2D filters or systems which does not belong to the clarified categories. As...
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