Existence and Global Exponential Stability of Almost Periodic Solutions for SICNNs with Nonlinear Behaved Functions and Mixed Delays
By using the Leray-Schauder fixed point theorem and differential inequality techniques, several new sufficient conditions are obtained for the existence and global exponential stability of almost periodic solutions for shunting inhibitory cellular neural networks with discrete and distributed delays...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/915451 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | By using the Leray-Schauder fixed point theorem and differential inequality techniques,
several new sufficient conditions are obtained for the existence and global exponential
stability of almost periodic solutions for shunting inhibitory cellular neural networks with
discrete and distributed delays. The model in this paper possesses two characters: nonlinear
behaved functions and all coefficients are time varying. Hence, our model is general and
applicable to many known models. Moreover, our main results are also general and can be
easily deduced to many simple cases, including some existing results. An example and its
simulation are employed to illustrate our feasible results. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |