Name
Abstract | ||
|---|---|---|
This paper compares the dynamical behaviour of the standard (S) cellular neural networks (CNNs) and the full-range (FR) CNNs, when the two CNN models are characterized by the same set of parameters (interconnections and inputs). The FR-CNNs are assumed to be characterized by ideal hard-limiter nonlinearities with two vertical segments in the i–v characteristic. The main result is that some basic conditions ensuring global exponential stability (GES) of the unique equilibrium point of S-CNNs, with or without delay, continue to ensure the same property for FR-CNNs for the same set of parameters. The significance of this result is discussed with respect to the results in a paper by Corinto and Gilli addressing the similarity of the qualitative behaviour of S-CNNs and FR-CNNs. FR-CNNs are analysed in this paper from a rigorous mathematical viewpoint by means of theoretical tools from set-valued analysis and differential inclusions. In particular, GES is investigated via an extended Lyapunov approach that is applicable to the differential inclusion describing the dynamics of FR-CNNs. Copyright © 2007 John Wiley & Sons, Ltd. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1002/cta.v36:5/6 | I. J. Circuit Theory and Applications |
Keywords | Field | DocType |
basic condition,main result,dynamical behaviour,global exponential stability,full-range cnns,cellular neural network,differential inclusion,cnn model,john wiley,qualitative behaviour,extended lyapunov approach,differential inclusions,cellular neural networks | Differential inclusion,Control theory,Equilibrium point,Exponential stability,Lyapunov approach,Cellular neural network,Mathematics | Journal |
Volume | Issue | ISSN |
36 | 5-6 | 0098-9886 |
Citations | PageRank | References |
12 | 0.71 | 31 |
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 |