New Results on Passivity Analysis for Uncertain Neural Networks with Time-Varying Delay
The paper investigates the stability and passivity analysis problems for a class of uncertain neural networks with time-delay via delta operator approach. Both the parameter uncertainty and the generalized activation functions are considered in this paper. By constructing an appropriate Lyapunov-Kra...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/303575 |
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| _version_ | 1832567103504252928 |
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| author | Xueying Shao Qing Lu Hamid Reza Karimi Jin Zhu |
| author_facet | Xueying Shao Qing Lu Hamid Reza Karimi Jin Zhu |
| author_sort | Xueying Shao |
| collection | DOAJ |
| description | The paper investigates the stability and passivity analysis problems for a class of uncertain neural networks with time-delay via delta operator approach. Both the parameter uncertainty and the generalized activation functions are considered in this paper. By constructing an appropriate Lyapunov-Krasovskii functional, some new stability and passivity conditions are obtained in terms of linear matrix inequalities (LMIs). The main characteristic of this paper is to obtain novel stability and passivity analysis criteria for uncertain neural networks with time-delay in the delta operator system framework. A numerical example is presented to demonstrate the effectiveness of the proposed results. |
| format | Article |
| id | doaj-art-6b15bfb1962a4d5a900778a1221ce2b3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6b15bfb1962a4d5a900778a1221ce2b32025-02-03T01:02:24ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/303575303575New Results on Passivity Analysis for Uncertain Neural Networks with Time-Varying DelayXueying Shao0Qing Lu1Hamid Reza Karimi2Jin Zhu3School of Mathematics and Physics, Bohai University, Jinzhou, Liaoning 121013, ChinaCollege of Engineering, Bohai University, Jinzhou, Liaoning 121013, ChinaDepartment of Engineering of the Faculty of Engineering and Science, University of Agder, 4898 Grimstad, NorwaySchool of Mathematics and Physics, Bohai University, Jinzhou, Liaoning 121013, ChinaThe paper investigates the stability and passivity analysis problems for a class of uncertain neural networks with time-delay via delta operator approach. Both the parameter uncertainty and the generalized activation functions are considered in this paper. By constructing an appropriate Lyapunov-Krasovskii functional, some new stability and passivity conditions are obtained in terms of linear matrix inequalities (LMIs). The main characteristic of this paper is to obtain novel stability and passivity analysis criteria for uncertain neural networks with time-delay in the delta operator system framework. A numerical example is presented to demonstrate the effectiveness of the proposed results.http://dx.doi.org/10.1155/2014/303575 |
| spellingShingle | Xueying Shao Qing Lu Hamid Reza Karimi Jin Zhu New Results on Passivity Analysis for Uncertain Neural Networks with Time-Varying Delay Abstract and Applied Analysis |
| title | New Results on Passivity Analysis for Uncertain Neural Networks with Time-Varying Delay |
| title_full | New Results on Passivity Analysis for Uncertain Neural Networks with Time-Varying Delay |
| title_fullStr | New Results on Passivity Analysis for Uncertain Neural Networks with Time-Varying Delay |
| title_full_unstemmed | New Results on Passivity Analysis for Uncertain Neural Networks with Time-Varying Delay |
| title_short | New Results on Passivity Analysis for Uncertain Neural Networks with Time-Varying Delay |
| title_sort | new results on passivity analysis for uncertain neural networks with time varying delay |
| url | http://dx.doi.org/10.1155/2014/303575 |
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