Antiperiodic Solutions for Quaternion-Valued Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses
This paper is concerned with quaternion-valued shunting inhibitory cellular neural networks (QVSICNNs) with distributed delays and impulses. By using a new continuation theorem of the coincidence degree theory, the existence of antiperiodic solutions for QVSICNNs is obtained. By constructing a suita...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/6420256 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560360278720512 |
|---|---|
| author | Nina Huo Yongkun Li |
| author_facet | Nina Huo Yongkun Li |
| author_sort | Nina Huo |
| collection | DOAJ |
| description | This paper is concerned with quaternion-valued shunting inhibitory cellular neural networks (QVSICNNs) with distributed delays and impulses. By using a new continuation theorem of the coincidence degree theory, the existence of antiperiodic solutions for QVSICNNs is obtained. By constructing a suitable Lyapunov function, some sufficient conditions are derived to guarantee the global exponential stability of antiperiodic solutions for QVSICNNs. Finally, an example is given to show the feasibility of obtained results. |
| format | Article |
| id | doaj-art-fd49bb73ec2d4074a773a0fa7821b932 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-fd49bb73ec2d4074a773a0fa7821b9322025-02-03T01:27:48ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/64202566420256Antiperiodic Solutions for Quaternion-Valued Shunting Inhibitory Cellular Neural Networks with Distributed Delays and ImpulsesNina Huo0Yongkun Li1Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaThis paper is concerned with quaternion-valued shunting inhibitory cellular neural networks (QVSICNNs) with distributed delays and impulses. By using a new continuation theorem of the coincidence degree theory, the existence of antiperiodic solutions for QVSICNNs is obtained. By constructing a suitable Lyapunov function, some sufficient conditions are derived to guarantee the global exponential stability of antiperiodic solutions for QVSICNNs. Finally, an example is given to show the feasibility of obtained results.http://dx.doi.org/10.1155/2018/6420256 |
| spellingShingle | Nina Huo Yongkun Li Antiperiodic Solutions for Quaternion-Valued Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses Complexity |
| title | Antiperiodic Solutions for Quaternion-Valued Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses |
| title_full | Antiperiodic Solutions for Quaternion-Valued Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses |
| title_fullStr | Antiperiodic Solutions for Quaternion-Valued Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses |
| title_full_unstemmed | Antiperiodic Solutions for Quaternion-Valued Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses |
| title_short | Antiperiodic Solutions for Quaternion-Valued Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses |
| title_sort | antiperiodic solutions for quaternion valued shunting inhibitory cellular neural networks with distributed delays and impulses |
| url | http://dx.doi.org/10.1155/2018/6420256 |
| work_keys_str_mv | AT ninahuo antiperiodicsolutionsforquaternionvaluedshuntinginhibitorycellularneuralnetworkswithdistributeddelaysandimpulses AT yongkunli antiperiodicsolutionsforquaternionvaluedshuntinginhibitorycellularneuralnetworkswithdistributeddelaysandimpulses |