Stability Analysis for Uncertain Neural Networks of Neutral Type with Time-Varying Delay in the Leakage Term and Distributed Delay
The stability problem is investigated for a class of uncertain networks of neutral type with leakage, time-varying discrete, and distributed delays. Both the parameter uncertainty and the generalized activation functions are considered in this paper. New stability results are achieved by constructin...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/517604 |
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| _version_ | 1832554353950457856 |
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| author | Qi Zhou Xueying Shao Jin Zhu Hamid Reza Karimi |
| author_facet | Qi Zhou Xueying Shao Jin Zhu Hamid Reza Karimi |
| author_sort | Qi Zhou |
| collection | DOAJ |
| description | The stability problem is investigated for a class of uncertain networks of neutral type
with leakage, time-varying discrete, and distributed delays. Both the parameter uncertainty and the
generalized activation functions are considered in this paper. New stability results are achieved by constructing
an appropriate Lyapunov-Krasovskii functional and employing the free weighting matrices and
the linear matrix inequality (LMI) method. Some numerical examples are given to show the effectiveness
and less conservatism of the proposed results. |
| format | Article |
| id | doaj-art-561a4095e0b8428fa70fcaf6d3001179 |
| 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-561a4095e0b8428fa70fcaf6d30011792025-02-03T05:51:44ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/517604517604Stability Analysis for Uncertain Neural Networks of Neutral Type with Time-Varying Delay in the Leakage Term and Distributed DelayQi Zhou0Xueying Shao1Jin Zhu2Hamid Reza Karimi3College of Information Science and Technology, Bohai University, Jinzhou, Liaoning 121013, ChinaSchool of Mathematics and Physics, Bohai University, Jinzhou, Liaoning 121013, ChinaSchool of Mathematics and Physics, Bohai University, Jinzhou, Liaoning 121013, ChinaDepartment of Engineering, Faculty of Engineering and Science, University of Agder, N-4898 Grimstad, NorwayThe stability problem is investigated for a class of uncertain networks of neutral type with leakage, time-varying discrete, and distributed delays. Both the parameter uncertainty and the generalized activation functions are considered in this paper. New stability results are achieved by constructing an appropriate Lyapunov-Krasovskii functional and employing the free weighting matrices and the linear matrix inequality (LMI) method. Some numerical examples are given to show the effectiveness and less conservatism of the proposed results.http://dx.doi.org/10.1155/2013/517604 |
| spellingShingle | Qi Zhou Xueying Shao Jin Zhu Hamid Reza Karimi Stability Analysis for Uncertain Neural Networks of Neutral Type with Time-Varying Delay in the Leakage Term and Distributed Delay Abstract and Applied Analysis |
| title | Stability Analysis for Uncertain Neural Networks of Neutral Type with Time-Varying Delay in the Leakage Term and Distributed Delay |
| title_full | Stability Analysis for Uncertain Neural Networks of Neutral Type with Time-Varying Delay in the Leakage Term and Distributed Delay |
| title_fullStr | Stability Analysis for Uncertain Neural Networks of Neutral Type with Time-Varying Delay in the Leakage Term and Distributed Delay |
| title_full_unstemmed | Stability Analysis for Uncertain Neural Networks of Neutral Type with Time-Varying Delay in the Leakage Term and Distributed Delay |
| title_short | Stability Analysis for Uncertain Neural Networks of Neutral Type with Time-Varying Delay in the Leakage Term and Distributed Delay |
| title_sort | stability analysis for uncertain neural networks of neutral type with time varying delay in the leakage term and distributed delay |
| url | http://dx.doi.org/10.1155/2013/517604 |
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