Name
Abstract | ||
|---|---|---|
By exponential dichotomy about differential equations, a formal almost periodic solution (APS) of a class of cellular neural networks (CNNs) with distributed delays is obtained. Then, within different normed spaces, several sufficient conditions guaranteeing the existence and uniqueness of an APS are proposed using two fixed-point theorems. Based on the continuity property and some inequality techniques, two theorems insuring the global stability of the unique APS are given. Comparing with known literatures, all conclusions are drawn with slacker restrictions, e.g., do not require the integral of the kernel function determining the distributed delays from zero to positive infinity to be one, and the activation functions to be bounded, etc.; besides, all criteria are obtained by different ways. Finally, two illustrative examples show the validity and that all criteria are easy to check and apply. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1109/TNN.2006.885441 | IEEE Transactions on Neural Networks |
Keywords | Field | DocType |
continuity property,unique aps,different way,different normed space,cellular neural networks,almost periodic solution,cellular neural network,differential equation,exponential dichotomy,fixed-point theorem,activation function,global stability,kernel function,stability,neural network,fixed point theorems,modeling,normed space,fixed point theorem,dichotomie,differential equations,dichotomy | Applied mathematics,Computer science,Artificial intelligence,Artificial neural network,Fixed-point theorem,Exponential dichotomy,Uniqueness,Mathematical optimization,Pattern recognition,Activation function,Cellular neural network,Kernel (statistics),Bounded function | Journal |
Volume | Issue | ISSN |
18 | 1 | 1045-9227 |
Citations | PageRank | References |
17 | 1.11 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yiguang Liu | 1 | 338 | 37.15 |
| Zhisheng You | 2 | 417 | 52.22 |
| Liping Cao | 3 | 71 | 6.47 |