Stability of Spatio-temporal Feedback Systems
- 1 February 1983
- journal article
- research article
- Published by Taylor & Francis in Optica Acta: International Journal of Optics
- Vol. 30 (2), 171-187
- https://doi.org/10.1080/713821139
Abstract
Image processing systems that contain feedback loops sometimes become unstable: they oscillate in space and time, which is fascinating but undesirable. These oscillations can be avoided if the system satisfies certain stability conditions. For purely time-dependent (one-dimensional) linear systems some stability tests are known, for example, from electronics. In this paper we consider multidimensional (space/time) systems. The resulting stability theorems are applied to some examples, such as iterative image processing, analog computing, etc. Finally, some considerations for the treatment of nonlinear systems are given.Keywords
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