Name
Abstract | ||
|---|---|---|
We consider the full-range (FR) model of cellular neural networks (CNNs) in the ideal case where the neuron nonlinearities 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 |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1109/ISCAS.2006.1693049 | Island of Kos |
Keywords | Field | DocType |
Lyapunov methods,cellular neural nets,circuit stability,comparators (circuits),network analysis,Lyapunov approach,differential inclusions,differential variational inequalities,equilibrium points,full-range cellular neural networks,hard-comparator functions,neuron nonlinearities,set-valued analysis,trajectory convergence | Convergence (routing),Differential inclusion,Differential equation,Uniqueness,Reciprocal,Mathematical analysis,Equilibrium point,Cellular neural network,Mathematics,Variational inequality | Conference |
ISSN | ISBN | Citations |
0271-4302 | 0-7803-9389-9 | 1 |
PageRank | References | Authors |
0.36 | 4 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| De Sandre, G. | 1 | 35 | 3.46 |
| Mauro Forti | 2 | 398 | 36.80 |
| Paolo Nistri | 3 | 212 | 33.80 |
| Premoli, Amedeo | 4 | 25 | 2.31 |