Less Conservative Stability Criteria for Neutral Type Neural Networks with Mixed Time-Varying Delays
This paper investigates the problem of dependent stability criteria for neutral type neural networks with mixed time-varying delays. Firstly, some new delay-dependent stability results are obtained by employing the more general partitioning approach and generalizing the famous Jensen inequality. Sec...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/450175 |
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| _version_ | 1832561043657719808 |
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| author | Kaibo Shi Hong Zhu Shouming Zhong Yong Zeng Yuping Zhang Li Liang |
| author_facet | Kaibo Shi Hong Zhu Shouming Zhong Yong Zeng Yuping Zhang Li Liang |
| author_sort | Kaibo Shi |
| collection | DOAJ |
| description | This paper investigates the problem of dependent stability criteria for neutral type neural networks with mixed time-varying delays. Firstly, some new delay-dependent stability results are obtained by employing the more general partitioning approach and generalizing the famous Jensen inequality. Secondly, based on a new type of Lyapunov-Krasovskii functional with the cross terms of variables, less conservative stability criteria
are proposed in terms of linear matrix inequalities (LMIs). Furthermore, it is the first time that the idea of second-order convex combination and the property of quadratic convex function applied to the derivation of neutral type neural networks play an important role in reducing the conservatism of the paper. Finally, four numerical examples are given to show the effectiveness and the advantage of the proposed method. |
| format | Article |
| id | doaj-art-d2c45dd687b849a2bb9978a837fd2e26 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d2c45dd687b849a2bb9978a837fd2e262025-02-03T01:26:08ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/450175450175Less Conservative Stability Criteria for Neutral Type Neural Networks with Mixed Time-Varying DelaysKaibo Shi0Hong Zhu1Shouming Zhong2Yong Zeng3Yuping Zhang4Li Liang5School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaCollege of Information Sciences and Technology, Hainan University, Haikou 570228, ChinaThis paper investigates the problem of dependent stability criteria for neutral type neural networks with mixed time-varying delays. Firstly, some new delay-dependent stability results are obtained by employing the more general partitioning approach and generalizing the famous Jensen inequality. Secondly, based on a new type of Lyapunov-Krasovskii functional with the cross terms of variables, less conservative stability criteria are proposed in terms of linear matrix inequalities (LMIs). Furthermore, it is the first time that the idea of second-order convex combination and the property of quadratic convex function applied to the derivation of neutral type neural networks play an important role in reducing the conservatism of the paper. Finally, four numerical examples are given to show the effectiveness and the advantage of the proposed method.http://dx.doi.org/10.1155/2013/450175 |
| spellingShingle | Kaibo Shi Hong Zhu Shouming Zhong Yong Zeng Yuping Zhang Li Liang Less Conservative Stability Criteria for Neutral Type Neural Networks with Mixed Time-Varying Delays Journal of Applied Mathematics |
| title | Less Conservative Stability Criteria for Neutral Type Neural Networks with Mixed Time-Varying Delays |
| title_full | Less Conservative Stability Criteria for Neutral Type Neural Networks with Mixed Time-Varying Delays |
| title_fullStr | Less Conservative Stability Criteria for Neutral Type Neural Networks with Mixed Time-Varying Delays |
| title_full_unstemmed | Less Conservative Stability Criteria for Neutral Type Neural Networks with Mixed Time-Varying Delays |
| title_short | Less Conservative Stability Criteria for Neutral Type Neural Networks with Mixed Time-Varying Delays |
| title_sort | less conservative stability criteria for neutral type neural networks with mixed time varying delays |
| url | http://dx.doi.org/10.1155/2013/450175 |
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