Global Exponential Stability of Antiperiodic Solution for Impulsive High-Order Hopfield Neural Networks
This paper is concerned with antiperiodic solutions for impulsive high-order Hopfield neural networks with leakage delays and continuously distributed delays. By employing a novel proof, some sufficient criteria are established to ensure the existence and global exponential stability of the antiperi...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/138379 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850107086213480448 |
|---|---|
| author | Wei Chen Shuhua Gong |
| author_facet | Wei Chen Shuhua Gong |
| author_sort | Wei Chen |
| collection | DOAJ |
| description | This paper is concerned with antiperiodic solutions for impulsive high-order Hopfield neural networks with leakage delays and continuously distributed delays. By employing a novel proof, some sufficient criteria are established to ensure the existence and global exponential stability of the antiperiodic solution, which are new and complement of previously known results. Moreover, an example and numerical simulations are given to support the theoretical result. |
| format | Article |
| id | doaj-art-4cc6afc9f8434df0a65ff3b25ce96111 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4cc6afc9f8434df0a65ff3b25ce961112025-08-20T02:38:39ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/138379138379Global Exponential Stability of Antiperiodic Solution for Impulsive High-Order Hopfield Neural NetworksWei Chen0Shuhua Gong1School of Mathematics and Information, Shanghai Lixin University of Commerce, Shanghai 201620, ChinaCollege of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, ChinaThis paper is concerned with antiperiodic solutions for impulsive high-order Hopfield neural networks with leakage delays and continuously distributed delays. By employing a novel proof, some sufficient criteria are established to ensure the existence and global exponential stability of the antiperiodic solution, which are new and complement of previously known results. Moreover, an example and numerical simulations are given to support the theoretical result.http://dx.doi.org/10.1155/2014/138379 |
| spellingShingle | Wei Chen Shuhua Gong Global Exponential Stability of Antiperiodic Solution for Impulsive High-Order Hopfield Neural Networks Abstract and Applied Analysis |
| title | Global Exponential Stability of Antiperiodic Solution for Impulsive High-Order Hopfield Neural Networks |
| title_full | Global Exponential Stability of Antiperiodic Solution for Impulsive High-Order Hopfield Neural Networks |
| title_fullStr | Global Exponential Stability of Antiperiodic Solution for Impulsive High-Order Hopfield Neural Networks |
| title_full_unstemmed | Global Exponential Stability of Antiperiodic Solution for Impulsive High-Order Hopfield Neural Networks |
| title_short | Global Exponential Stability of Antiperiodic Solution for Impulsive High-Order Hopfield Neural Networks |
| title_sort | global exponential stability of antiperiodic solution for impulsive high order hopfield neural networks |
| url | http://dx.doi.org/10.1155/2014/138379 |
| work_keys_str_mv | AT weichen globalexponentialstabilityofantiperiodicsolutionforimpulsivehighorderhopfieldneuralnetworks AT shuhuagong globalexponentialstabilityofantiperiodicsolutionforimpulsivehighorderhopfieldneuralnetworks |