Almost sure exponential stability of delayed cellular neural networks
The stability of stochastic delayed Cellular Neural Networks (DCNN) is investigated in this paper. Using suitable Lyapunov functional and the semimartingale convergence theorem, we obtain some sufficient conditions for checking the almost sure exponential stability of the DCNN.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2007-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/44/abstr.html |
| _version_ | 1818306592103202816 |
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| author | Chuangxia Huang Yigang He Lihong Huang |
| author_facet | Chuangxia Huang Yigang He Lihong Huang |
| author_sort | Chuangxia Huang |
| collection | DOAJ |
| description | The stability of stochastic delayed Cellular Neural Networks (DCNN) is investigated in this paper. Using suitable Lyapunov functional and the semimartingale convergence theorem, we obtain some sufficient conditions for checking the almost sure exponential stability of the DCNN. |
| first_indexed | 2024-12-13T06:44:56Z |
| format | Article |
| id | doaj.art-0f0a59f2abfc418c9b67da83fb876d72 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-13T06:44:56Z |
| publishDate | 2007-03-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-0f0a59f2abfc418c9b67da83fb876d722022-12-21T23:56:19ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912007-03-0120074416Almost sure exponential stability of delayed cellular neural networksChuangxia HuangYigang HeLihong HuangThe stability of stochastic delayed Cellular Neural Networks (DCNN) is investigated in this paper. Using suitable Lyapunov functional and the semimartingale convergence theorem, we obtain some sufficient conditions for checking the almost sure exponential stability of the DCNN.http://ejde.math.txstate.edu/Volumes/2007/44/abstr.htmlStochasticcellular neural networksalmost sure exponential stabilityLyapunov functional. |
| spellingShingle | Chuangxia Huang Yigang He Lihong Huang Almost sure exponential stability of delayed cellular neural networks Electronic Journal of Differential Equations Stochastic cellular neural networks almost sure exponential stability Lyapunov functional. |
| title | Almost sure exponential stability of delayed cellular neural networks |
| title_full | Almost sure exponential stability of delayed cellular neural networks |
| title_fullStr | Almost sure exponential stability of delayed cellular neural networks |
| title_full_unstemmed | Almost sure exponential stability of delayed cellular neural networks |
| title_short | Almost sure exponential stability of delayed cellular neural networks |
| title_sort | almost sure exponential stability of delayed cellular neural networks |
| topic | Stochastic cellular neural networks almost sure exponential stability Lyapunov functional. |
| url | http://ejde.math.txstate.edu/Volumes/2007/44/abstr.html |
| work_keys_str_mv | AT chuangxiahuang almostsureexponentialstabilityofdelayedcellularneuralnetworks AT yiganghe almostsureexponentialstabilityofdelayedcellularneuralnetworks AT lihonghuang almostsureexponentialstabilityofdelayedcellularneuralnetworks |