Name
Abstract | ||
|---|---|---|
The paper considers a class of delayed standard (S) cellular neural networks (CNNs) with non-negative interconnections between distinct neurons and a typical three-segment pwl neuron activation. It is also assumed that such cooperative SCNNs satisfy an irreducibility condition on the interconnection and delayed interconnection matrix. By means of a counterexample it is shown that the solution semiflow associated to such SCNNs in the general case does not satisfy the fundamental property of the omega-limit set dichotomy and is not eventually strongly monotone. The consequences of this result are discussed in the context of the existing methods for addressing convergence of monotone semiflows defined by delayed cooperative dynamical systems. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/ISCAS.2010.5537175 | Circuits and Systems |
Keywords | Field | DocType |
cellular neural nets,delays,interconnections,set theory,cooperative SCNNs,delayed cooperative dynamical systems,delayed interconnection matrix,irreducibility condition,monotone semiflows,nonnegative interconnections,omega-limit set dichotomy,standard cellular neural networks,three-segment pwl neuron activation | Convergence (routing),Set theory,Computer science,Control theory,Irreducibility,Strongly monotone,Dynamical systems theory,Counterexample,Cellular neural network,Monotone polygon | Conference |
ISSN | ISBN | Citations |
0271-4302 | 978-1-4244-5309-2 | 2 |
PageRank | References | Authors |
0.51 | 1 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Di Marco, M. | 1 | 59 | 7.20 |
| Mauro Forti | 2 | 398 | 36.80 |
| Massimo Grazzini | 3 | 131 | 11.01 |
| Luca Pancioni | 4 | 207 | 17.58 |