Stability in Switched Cohen-Grossberg Neural Networks with Mixed Time Delays and Non-Lipschitz Activation Functions
The stability for the switched Cohen-Grossberg neural networks with mixed time delays and α-inverse Hölder activation functions is investigated under the switching rule with the average dwell time property. By applying multiple Lyapunov-Krasovskii functional approach and linear matrix inequality (LM...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/435402 |
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| _version_ | 1832562825214558208 |
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| author | Huaiqin Wu Guohua Xu Chongyang Wu Ning Li Kewang Wang Qiangqiang Guo |
| author_facet | Huaiqin Wu Guohua Xu Chongyang Wu Ning Li Kewang Wang Qiangqiang Guo |
| author_sort | Huaiqin Wu |
| collection | DOAJ |
| description | The stability for the switched Cohen-Grossberg neural networks
with mixed time delays and α-inverse Hölder activation functions is investigated
under the switching rule with the average dwell time property. By applying multiple Lyapunov-Krasovskii functional approach and linear matrix inequality (LMI) technique, a delay-dependent sufficient criterion is achieved to ensure such switched
neural networks to be globally exponentially stable in terms of LMIs, and the exponential decay estimation is explicitly developed for the states too. Two illustrative examples are given to demonstrate the validity of the theoretical results. |
| format | Article |
| id | doaj-art-8a41e79ffd5d4a388bb59677e3de20f6 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8a41e79ffd5d4a388bb59677e3de20f62025-02-03T01:21:37ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/435402435402Stability in Switched Cohen-Grossberg Neural Networks with Mixed Time Delays and Non-Lipschitz Activation FunctionsHuaiqin Wu0Guohua Xu1Chongyang Wu2Ning Li3Kewang Wang4Qiangqiang Guo5College of Science, Yanshan University, Qinhuangdao 066001, ChinaCollege of Science, Yanshan University, Qinhuangdao 066001, ChinaCollege of Economics and Finance, Huaqiao University, Quanzhou 362021, ChinaCollege of Science, Yanshan University, Qinhuangdao 066001, ChinaCollege of Science, Yanshan University, Qinhuangdao 066001, ChinaCollege of Science, Yanshan University, Qinhuangdao 066001, ChinaThe stability for the switched Cohen-Grossberg neural networks with mixed time delays and α-inverse Hölder activation functions is investigated under the switching rule with the average dwell time property. By applying multiple Lyapunov-Krasovskii functional approach and linear matrix inequality (LMI) technique, a delay-dependent sufficient criterion is achieved to ensure such switched neural networks to be globally exponentially stable in terms of LMIs, and the exponential decay estimation is explicitly developed for the states too. Two illustrative examples are given to demonstrate the validity of the theoretical results.http://dx.doi.org/10.1155/2012/435402 |
| spellingShingle | Huaiqin Wu Guohua Xu Chongyang Wu Ning Li Kewang Wang Qiangqiang Guo Stability in Switched Cohen-Grossberg Neural Networks with Mixed Time Delays and Non-Lipschitz Activation Functions Discrete Dynamics in Nature and Society |
| title | Stability in Switched Cohen-Grossberg Neural Networks with Mixed Time Delays and Non-Lipschitz Activation Functions |
| title_full | Stability in Switched Cohen-Grossberg Neural Networks with Mixed Time Delays and Non-Lipschitz Activation Functions |
| title_fullStr | Stability in Switched Cohen-Grossberg Neural Networks with Mixed Time Delays and Non-Lipschitz Activation Functions |
| title_full_unstemmed | Stability in Switched Cohen-Grossberg Neural Networks with Mixed Time Delays and Non-Lipschitz Activation Functions |
| title_short | Stability in Switched Cohen-Grossberg Neural Networks with Mixed Time Delays and Non-Lipschitz Activation Functions |
| title_sort | stability in switched cohen grossberg neural networks with mixed time delays and non lipschitz activation functions |
| url | http://dx.doi.org/10.1155/2012/435402 |
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