The paper considers a class of Full-Range (FR) cellular neural networks (CNNs) characterized by a finite constant delay in the neuron interconnections and intervalized interconnection parameters. A theorem is proved which ensures global robust stability (GRS), i.e., global stability of the equilibrium point for any FR-CNN whose parameters belong to given intervals. The theorem extends to FR-CNNs a result on GRS for standard (S) CNNs obtained in a recent paper by Shen and Zhang. The significance of the result in this paper is discussed in relation to the results in a paper by Corinto and Gilli, which addresses the equivalence of the dynamical behavior of FR-CNNs and S-CNNs, when they are defined by the same set of parameters.
DI MARCO, M., Forti, M., Grazzini, M., Pancioni, L. (2008). A Study on Global Robust Stability of Delayed Full-Range Cellular Neural Networks. In Proceedings of 2007 IEEE International Symposium on circuits and systems (pp.1368-1371). New York, USA : IEEE [10.1109/ISCAS.2008.4541681].
A Study on Global Robust Stability of Delayed Full-Range Cellular Neural Networks
DI MARCO, MAURO;M. FORTI;PANCIONI, LUCA
2008-01-01
Abstract
The paper considers a class of Full-Range (FR) cellular neural networks (CNNs) characterized by a finite constant delay in the neuron interconnections and intervalized interconnection parameters. A theorem is proved which ensures global robust stability (GRS), i.e., global stability of the equilibrium point for any FR-CNN whose parameters belong to given intervals. The theorem extends to FR-CNNs a result on GRS for standard (S) CNNs obtained in a recent paper by Shen and Zhang. The significance of the result in this paper is discussed in relation to the results in a paper by Corinto and Gilli, which addresses the equivalence of the dynamical behavior of FR-CNNs and S-CNNs, when they are defined by the same set of parameters.
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https://hdl.handle.net/11365/6171