The issue of the loss of complete stability for a class of cellular neural networks (CNNs) is analyzed. It is shown that there are CNNs in this class for which a Hopf bifurcation is present, even if the interconnection matrix is arbitrarily close to some symmetric matrix. This shows that, in the general case, complete stability is not robust with respect to perturbations of nominal symmetric interconnection matrices.
DI MARCO, M., Forti, M., Tesi, A. (2000). On robustness of complete stability for a class of cellular neural networks. In IEEE International Symposium on Circuits and Systems, ISCAS 2000 (pp.141-144) [10.1109/ISCAS.2000.858708].
On robustness of complete stability for a class of cellular neural networks
DI MARCO, MAURO;FORTI, MAURO;
2000-01-01
Abstract
The issue of the loss of complete stability for a class of cellular neural networks (CNNs) is analyzed. It is shown that there are CNNs in this class for which a Hopf bifurcation is present, even if the interconnection matrix is arbitrarily close to some symmetric matrix. This shows that, in the general case, complete stability is not robust with respect to perturbations of nominal symmetric interconnection matrices.
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https://hdl.handle.net/11365/18406