Realization and stabilization of 2-d systems

During recent years several state-space models concerning discrete 2-D systems (systems with two time parameters) have appeared in the literature. These are used, for example, in image processing. To these models are attached the names of Attasi [1], Fornasini-Marchesini [2], Givone-Roesser [3]. In...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1978-10, Vol.23 (5), p.793-799
Main Author: Eising, R.
Format: Article
Language:English
Subjects:
Convolution
Equations
Feedback
Image processing
Linear systems
Mathematics
Modules (abstract algebra)
Polynomials
Stability
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Summary:During recent years several state-space models concerning discrete 2-D systems (systems with two time parameters) have appeared in the literature. These are used, for example, in image processing. To these models are attached the names of Attasi [1], Fornasini-Marchesini [2], Givone-Roesser [3]. In this paper it is shown that all these models are special cases of a new model which is a straightforward generalization of the 1-D case. Under certain conditions the existence of a stabilizing feedback is shown. In the last part connections with [4] are made.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.1978.1101861