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Cellular Neural Networks: Theory
IEEE Transactions on Circuits and Systems, 1988A novel class of information-processing systems called cellular neural networks is proposed. Like neural networks, they are large-scale nonlinear analog circuits that process signals in real time. Like cellular automata, they consist of a massive aggregate of regularly spaced circuit clones, called cells, which communicate with each other directly only
L O Chua
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An Analysis of Global Asymptotic Stability of Delayed Cellular Neural Networks
IEEE Transactions on Neural Networks, 2002 In this paper, a new sufficient condition is given for the uniqueness and global asymptotic stability of the equilibrium point for delayed cellular neural networks (DCNNs).
Sabri Arık
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Resolutionable cellular neural networks
Proceedings of International Conference on Neural Networks (ICNN'97), 2002This paper describes resolutionable cellular neural networks (CNNs) by which a wide range of image applications can be done based on spatio-temporal dynamics to generate triplet (red, green, blue) combinational secondary color for a full color input with any resolution.
Mamoru Tanaka +5 more
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Linear cellular neural networks
ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196), 2002In this paper we introduce a new way of image processing based on CNN but whose activation function is a linear function. This fact enables us to develop gray-scale image processing; here we introduce the mathematical basis and the electrical model. In addition, some examples are presented and the properties of these networks are discussed.
Federico Lobato-Lopez +2 more
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On Stability of Cellular Neural Networks
Journal of VLSI signal processing systems for signal, image and video technology, 1999The main results about stability of cellular neural networks (CNNs) are reviewed. Some of them are extended and reformulated, with the purpose of providing to the CNN designer simple criteria for checking the stability properties. A particular emphasis is given to the conditions for the stability of CNNs described by space-invariant templates.
CIVALLERI, Pier Paolo, GILLI, MARCO
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On cellular neural network learning
Proceedings of the 2005 European Conference on Circuit Theory and Design, 2005., 2006We study the continuous time two neuron CNN in the context of a supervised learning problem and extract the convergence map for constant inputs. From this result we can design a CNN cloning template for a classification problem. Some of the parameters of this cloning template play no effective role in the tesselation giving the convergence map.
Xavier Vilasís-Cardona +1 more
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