Influence of Leakage Delay on Almost Periodic Solutions for BAM Neural Networks
In this paper, we deal with a class of BAM neural networks with time-varying leakage delays. By applying the exponential dichotomy of linear differential equations, fixed point theorems and differential inequality techniques, we obtain some sufficient conditions which guarantee the existence and exp...
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8819928/ |
| _version_ | 1818622024301412352 |
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| author | Changjin Xu Peiluan Li |
| author_facet | Changjin Xu Peiluan Li |
| author_sort | Changjin Xu |
| collection | DOAJ |
| description | In this paper, we deal with a class of BAM neural networks with time-varying leakage delays. By applying the exponential dichotomy of linear differential equations, fixed point theorems and differential inequality techniques, we obtain some sufficient conditions which guarantee the existence and exponential stability of almost periodic solutions for such class of BAM neural networks. An example is provided to illustrate the effectiveness of the theoretical predictions. The results obtained in this paper are completely new and complement the previously known publications. |
| first_indexed | 2024-12-16T18:18:35Z |
| format | Article |
| id | doaj.art-4bea84eb6c704954857df254769a3ab9 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-16T18:18:35Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-4bea84eb6c704954857df254769a3ab92022-12-21T22:21:38ZengIEEEIEEE Access2169-35362019-01-01712974112975710.1109/ACCESS.2019.29381888819928Influence of Leakage Delay on Almost Periodic Solutions for BAM Neural NetworksChangjin Xu0https://orcid.org/0000-0001-5844-2985Peiluan Li1Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, ChinaSchool of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, ChinaIn this paper, we deal with a class of BAM neural networks with time-varying leakage delays. By applying the exponential dichotomy of linear differential equations, fixed point theorems and differential inequality techniques, we obtain some sufficient conditions which guarantee the existence and exponential stability of almost periodic solutions for such class of BAM neural networks. An example is provided to illustrate the effectiveness of the theoretical predictions. The results obtained in this paper are completely new and complement the previously known publications.https://ieeexplore.ieee.org/document/8819928/BAM neural networksalmost periodic solutionexponential stabilityexponential dichotomyleakage delay |
| spellingShingle | Changjin Xu Peiluan Li Influence of Leakage Delay on Almost Periodic Solutions for BAM Neural Networks IEEE Access BAM neural networks almost periodic solution exponential stability exponential dichotomy leakage delay |
| title | Influence of Leakage Delay on Almost Periodic Solutions for BAM Neural Networks |
| title_full | Influence of Leakage Delay on Almost Periodic Solutions for BAM Neural Networks |
| title_fullStr | Influence of Leakage Delay on Almost Periodic Solutions for BAM Neural Networks |
| title_full_unstemmed | Influence of Leakage Delay on Almost Periodic Solutions for BAM Neural Networks |
| title_short | Influence of Leakage Delay on Almost Periodic Solutions for BAM Neural Networks |
| title_sort | influence of leakage delay on almost periodic solutions for bam neural networks |
| topic | BAM neural networks almost periodic solution exponential stability exponential dichotomy leakage delay |
| url | https://ieeexplore.ieee.org/document/8819928/ |
| work_keys_str_mv | AT changjinxu influenceofleakagedelayonalmostperiodicsolutionsforbamneuralnetworks AT peiluanli influenceofleakagedelayonalmostperiodicsolutionsforbamneuralnetworks |