Existence and Exponential Stability of Periodic Solution for a Class of Generalized Neural Networks with Arbitrary Delays
By the continuation theorem of coincidence degree and M-matrix theory, we obtain some sufficient conditions for the existence and exponential stability of periodic solutions for a class of generalized neural networks with arbitrary delays, which are milder and less restrictive than those of previous...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/957475 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559493073862656 |
|---|---|
| author | Yimin Zhang Yongkun Li Kuohui Ye |
| author_facet | Yimin Zhang Yongkun Li Kuohui Ye |
| author_sort | Yimin Zhang |
| collection | DOAJ |
| description | By the continuation theorem of coincidence degree and M-matrix theory, we obtain some sufficient conditions for the existence and exponential stability of periodic solutions for a class of generalized neural networks with arbitrary delays, which are milder and less restrictive than those of previous known criteria. Moreover our results generalize and improve many existing ones. |
| format | Article |
| id | doaj-art-7da095423bde4441b6f739ef4175ff67 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7da095423bde4441b6f739ef4175ff672025-02-03T01:29:58ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/957475957475Existence and Exponential Stability of Periodic Solution for a Class of Generalized Neural Networks with Arbitrary DelaysYimin Zhang0Yongkun Li1Kuohui Ye2Department of Mathematics, Zhaotong Teacher's College, Zhaotong, Yunnan 657000, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaBy the continuation theorem of coincidence degree and M-matrix theory, we obtain some sufficient conditions for the existence and exponential stability of periodic solutions for a class of generalized neural networks with arbitrary delays, which are milder and less restrictive than those of previous known criteria. Moreover our results generalize and improve many existing ones.http://dx.doi.org/10.1155/2009/957475 |
| spellingShingle | Yimin Zhang Yongkun Li Kuohui Ye Existence and Exponential Stability of Periodic Solution for a Class of Generalized Neural Networks with Arbitrary Delays Abstract and Applied Analysis |
| title | Existence and Exponential Stability of Periodic Solution for a Class of Generalized Neural Networks with Arbitrary Delays |
| title_full | Existence and Exponential Stability of Periodic Solution for a Class of Generalized Neural Networks with Arbitrary Delays |
| title_fullStr | Existence and Exponential Stability of Periodic Solution for a Class of Generalized Neural Networks with Arbitrary Delays |
| title_full_unstemmed | Existence and Exponential Stability of Periodic Solution for a Class of Generalized Neural Networks with Arbitrary Delays |
| title_short | Existence and Exponential Stability of Periodic Solution for a Class of Generalized Neural Networks with Arbitrary Delays |
| title_sort | existence and exponential stability of periodic solution for a class of generalized neural networks with arbitrary delays |
| url | http://dx.doi.org/10.1155/2009/957475 |
| work_keys_str_mv | AT yiminzhang existenceandexponentialstabilityofperiodicsolutionforaclassofgeneralizedneuralnetworkswitharbitrarydelays AT yongkunli existenceandexponentialstabilityofperiodicsolutionforaclassofgeneralizedneuralnetworkswitharbitrarydelays AT kuohuiye existenceandexponentialstabilityofperiodicsolutionforaclassofgeneralizedneuralnetworkswitharbitrarydelays |