Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses
A class of Cohen-Grossberg-type BAM neural networks with distributed delays and impulses are investigated in this paper. Sufficient conditions to guarantee the uniqueness and global exponential stability of the periodic solutions of such networks are established by using suitable Lyapunov function,...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/643418 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549169118576640 |
|---|---|
| author | Qiming Liu Rui Xu |
| author_facet | Qiming Liu Rui Xu |
| author_sort | Qiming Liu |
| collection | DOAJ |
| description | A class of Cohen-Grossberg-type BAM neural networks with distributed delays
and impulses are investigated in this paper. Sufficient conditions to guarantee the uniqueness
and global exponential stability of the periodic solutions of such networks are established
by using suitable Lyapunov function, the properties of M-matrix, and some suitable mathematical transformation. The results in this paper improve the earlier publications. |
| format | Article |
| id | doaj-art-767dff0e97e5492ab7fb3cbf7f24b54d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-767dff0e97e5492ab7fb3cbf7f24b54d2025-02-03T06:12:02ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/643418643418Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and ImpulsesQiming Liu0Rui Xu1Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, ChinaInstitute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, ChinaA class of Cohen-Grossberg-type BAM neural networks with distributed delays and impulses are investigated in this paper. Sufficient conditions to guarantee the uniqueness and global exponential stability of the periodic solutions of such networks are established by using suitable Lyapunov function, the properties of M-matrix, and some suitable mathematical transformation. The results in this paper improve the earlier publications.http://dx.doi.org/10.1155/2012/643418 |
| spellingShingle | Qiming Liu Rui Xu Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses Journal of Applied Mathematics |
| title | Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses |
| title_full | Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses |
| title_fullStr | Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses |
| title_full_unstemmed | Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses |
| title_short | Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses |
| title_sort | periodic solutions of a cohen grossberg type bam neural networks with distributed delays and impulses |
| url | http://dx.doi.org/10.1155/2012/643418 |
| work_keys_str_mv | AT qimingliu periodicsolutionsofacohengrossbergtypebamneuralnetworkswithdistributeddelaysandimpulses AT ruixu periodicsolutionsofacohengrossbergtypebamneuralnetworkswithdistributeddelaysandimpulses |