We consider the Full-Range (FR) model of Cellular Neural Networks (CNNs) in the ideal case where the neuron non-linearities are hard-comparator functions with two unbounded vertical segments. The dynamics of FR-CNNs is rigorously analyzed by using theoretical tools from set-valued analysis and differential inclusions. The fundamental property proved in the paper is that FR-CNNs are equivalent to a special class of differential inclusions named differential variational inequalities. On this basis, a sound foundation to the dynamics of FR-CNNs is given, by establishing results on the existence and uniqueness of the solution starting at a given point, and on the existence of equilibrium points. Moreover, some fundamental results on trajectory convergence towards equilibrium points (complete stability) for reciprocal standard CNNs are extended to reciprocal FR-CNNs by using a generalized Lyapunov approach.
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|Titolo:||Full-range cellular neural networks and differential variational inequalities|
|Citazione:||De Sandre, G., Forti, M., Nistri, P., & Premoli, A. (2006). Full-range cellular neural networks and differential variational inequalities. In Proceedings - IEEE International Symposium on Circuits and Systems (pp.2173-2176). New York : IEEE.|
|Appare nelle tipologie:||4.1 Contributo in Atti di convegno|