Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays
This work is devoted to investigating the stability of impulsive cellular neural networks with time-varying and distributed delays. We use the new method of fixed point theory to obtain some new and concise sufficient conditions to ensure the existence and uniqueness of solution and the global expon...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/325310 |
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| _version_ | 1832556552038383616 |
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| author | Qi Luo Xinjie Miao Qian Wei Zhengxin Zhou |
| author_facet | Qi Luo Xinjie Miao Qian Wei Zhengxin Zhou |
| author_sort | Qi Luo |
| collection | DOAJ |
| description | This work is devoted to investigating the stability of impulsive cellular neural networks with time-varying and distributed delays. We use the new method of fixed point theory to obtain some new and concise sufficient conditions to ensure the existence and uniqueness of solution and the global exponential stability of trivial equilibrium. The presented algebraic criteria are easily checked and do not require the differentiability of delays. |
| format | Article |
| id | doaj-art-6e555b9b5c664c4e81703d257dfae96d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6e555b9b5c664c4e81703d257dfae96d2025-02-03T05:44:59ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/325310325310Stability of Impulsive Neural Networks with Time-Varying and Distributed DelaysQi Luo0Xinjie Miao1Qian Wei2Zhengxin Zhou3School of Information & Control, Nanjing University of Information Science & Technology, Nanjing, Jiangsu 210044, ChinaSchool of Information & Control, Nanjing University of Information Science & Technology, Nanjing, Jiangsu 210044, ChinaSchool of Information & Control, Nanjing University of Information Science & Technology, Nanjing, Jiangsu 210044, ChinaSchool of Mathematical Science, Yangzhou University, Yangzhou, Jiangsu 225009, ChinaThis work is devoted to investigating the stability of impulsive cellular neural networks with time-varying and distributed delays. We use the new method of fixed point theory to obtain some new and concise sufficient conditions to ensure the existence and uniqueness of solution and the global exponential stability of trivial equilibrium. The presented algebraic criteria are easily checked and do not require the differentiability of delays.http://dx.doi.org/10.1155/2013/325310 |
| spellingShingle | Qi Luo Xinjie Miao Qian Wei Zhengxin Zhou Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays Abstract and Applied Analysis |
| title | Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays |
| title_full | Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays |
| title_fullStr | Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays |
| title_full_unstemmed | Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays |
| title_short | Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays |
| title_sort | stability of impulsive neural networks with time varying and distributed delays |
| url | http://dx.doi.org/10.1155/2013/325310 |
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