Exponential Stability of Periodic Solutions for Inertial Type BAM Cohen-Grossberg Neural Networks
The existence and exponential stability of periodic solutions for inertial type BAM Cohen-Grossberg neural networks are investigated. First, by properly choosing variable substitution, the system is transformed to first order differential equation. Second, some sufficient conditions that ensure the...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/857341 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549413372821504 |
|---|---|
| author | Chunfang Miao Yunquan Ke |
| author_facet | Chunfang Miao Yunquan Ke |
| author_sort | Chunfang Miao |
| collection | DOAJ |
| description | The existence and exponential stability of periodic solutions for inertial type BAM Cohen-Grossberg neural
networks are investigated. First, by properly choosing variable substitution, the system is transformed to first order differential
equation. Second, some sufficient conditions that ensure the existence and exponential stability of periodic solutions for the system are obtained by constructing suitable Lyapunov functional and using differential mean value theorem and inequality technique. Finally, two examples are given to illustrate the effectiveness of the results. |
| format | Article |
| id | doaj-art-f1fd6cb0a0144a50921d3f192423bbe9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f1fd6cb0a0144a50921d3f192423bbe92025-02-03T06:11:24ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/857341857341Exponential Stability of Periodic Solutions for Inertial Type BAM Cohen-Grossberg Neural NetworksChunfang Miao0Yunquan Ke1Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang 312000, ChinaDepartment of Mathematics, Shaoxing University, Shaoxing, Zhejiang 312000, ChinaThe existence and exponential stability of periodic solutions for inertial type BAM Cohen-Grossberg neural networks are investigated. First, by properly choosing variable substitution, the system is transformed to first order differential equation. Second, some sufficient conditions that ensure the existence and exponential stability of periodic solutions for the system are obtained by constructing suitable Lyapunov functional and using differential mean value theorem and inequality technique. Finally, two examples are given to illustrate the effectiveness of the results.http://dx.doi.org/10.1155/2014/857341 |
| spellingShingle | Chunfang Miao Yunquan Ke Exponential Stability of Periodic Solutions for Inertial Type BAM Cohen-Grossberg Neural Networks Abstract and Applied Analysis |
| title | Exponential Stability of Periodic Solutions for Inertial Type BAM Cohen-Grossberg Neural Networks |
| title_full | Exponential Stability of Periodic Solutions for Inertial Type BAM Cohen-Grossberg Neural Networks |
| title_fullStr | Exponential Stability of Periodic Solutions for Inertial Type BAM Cohen-Grossberg Neural Networks |
| title_full_unstemmed | Exponential Stability of Periodic Solutions for Inertial Type BAM Cohen-Grossberg Neural Networks |
| title_short | Exponential Stability of Periodic Solutions for Inertial Type BAM Cohen-Grossberg Neural Networks |
| title_sort | exponential stability of periodic solutions for inertial type bam cohen grossberg neural networks |
| url | http://dx.doi.org/10.1155/2014/857341 |
| work_keys_str_mv | AT chunfangmiao exponentialstabilityofperiodicsolutionsforinertialtypebamcohengrossbergneuralnetworks AT yunquanke exponentialstabilityofperiodicsolutionsforinertialtypebamcohengrossbergneuralnetworks |