Name
Abstract | ||
|---|---|---|
This paper considers the Full-range (FR) model of Cellular Neural Networks (CNNs) in the case where the signal range is delimited by an ideal hard-limiter nonlinearity with two vertical segments in the i−v characteristic. A Łojasiewicz inequality around any equilibrium point, for a FRCNN with a symmetric interconnection matrix, is proved. It is also shown that the Łojasiewicz exponent is equal to **image**. The main consequence is that any forward solution of a symmetric FRCNN has finite length and is exponentially convergent toward an equilibrium point, even in degenerate situations where the FRCNN possesses non-isolated equilibrium points. The obtained results are shown to improve the previous results in literature on convergence or almost convergence of symmetric FRCNNs. Copyright © 2010 John Wiley & Sons, Ltd. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1002/cta.717 | International Journal of Circuit Theory and Applications |
Keywords | Field | DocType |
equilibrium point,ojasiewicz inequality,ojasiewicz exponent,full-range model,symmetric frcnn,exponential convergence,symmetric frcnns,symmetric interconnection matrix,john wiley,exponentially convergent,cellular neural networks,non-isolated equilibrium point,convergence | Convergence (routing),Degenerate energy levels,Applied mathematics,Mathematical optimization,Nonlinear system,Exponent,Control theory,Equilibrium point,Inequality,Cellular neural network,Mathematics,Exponential growth | Journal |
Volume | Issue | ISSN |
40 | 4 | 0098-9886 |
Citations | PageRank | References |
2 | 0.38 | 18 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mauro Di Marco | 1 | 205 | 18.38 |
| Mauro Forti | 2 | 398 | 36.80 |
| Massimo Grazzini | 3 | 131 | 11.01 |
| Luca Pancioni | 4 | 207 | 17.58 |