Realization and stabilization of 2-d systems
- 1 October 1978
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 23 (5) , 793-799
- https://doi.org/10.1109/tac.1978.1101861
Abstract
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.Keywords
This publication has 7 references indexed in Scilit:
- Some stability properties of two-dimensional linear shift-invariant digital filtersIEEE Transactions on Circuits and Systems, 1977
- An alternate proof of Huang's stability theoremIEEE Transactions on Acoustics, Speech, and Signal Processing, 1976
- Ring models for delay-differential systemsAutomatica, 1976
- State-space realization theory of two-dimensional filtersIEEE Transactions on Automatic Control, 1976
- On linear systems and noncommutative ringsTheory of Computing Systems, 1975
- A discrete state-space model for linear image processingIEEE Transactions on Automatic Control, 1975
- Stability of two-dimensional recursive filtersIEEE Transactions on Audio and Electroacoustics, 1972