Delay-Range-Dependent Global Robust Passivity Analysis of Discrete-Time Uncertain Recurrent Neural Networks with Interval Time-Varying Delay
This paper examines a passivity analysis for a class of discrete-time recurrent neural networks (DRNNs) with norm-bounded time-varying parameter uncertainties and interval time-varying delay. The activation functions are assumed to be globally Lipschitz continuous. Based on an appropriate type of Ly...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/430158 |
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| _version_ | 1832551938556690432 |
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| author | Chien-Yu Lu Chin-Wen Liao Hsun-Heng Tsai |
| author_facet | Chien-Yu Lu Chin-Wen Liao Hsun-Heng Tsai |
| author_sort | Chien-Yu Lu |
| collection | DOAJ |
| description | This paper examines a passivity analysis for a class of discrete-time recurrent neural networks (DRNNs) with norm-bounded time-varying parameter uncertainties and interval time-varying delay. The activation functions are assumed to be globally Lipschitz continuous. Based on an appropriate type of Lyapunov functional, sufficient passivity conditions for the DRNNs are derived in terms of a family of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness and applicability. |
| format | Article |
| id | doaj-art-333ebc85a3e8419d983d1ac9acce2b0d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-333ebc85a3e8419d983d1ac9acce2b0d2025-02-03T06:00:02ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/430158430158Delay-Range-Dependent Global Robust Passivity Analysis of Discrete-Time Uncertain Recurrent Neural Networks with Interval Time-Varying DelayChien-Yu Lu0Chin-Wen Liao1Hsun-Heng Tsai2Department of Industrial Education and Technology, National Changhua University of Education, Changhua 500, TaiwanDepartment of Industrial Education and Technology, National Changhua University of Education, Changhua 500, TaiwanDepartment of Biomechatronics Engineering, National Pingtung University of Science & Technology, Pingtung 912, TaiwanThis paper examines a passivity analysis for a class of discrete-time recurrent neural networks (DRNNs) with norm-bounded time-varying parameter uncertainties and interval time-varying delay. The activation functions are assumed to be globally Lipschitz continuous. Based on an appropriate type of Lyapunov functional, sufficient passivity conditions for the DRNNs are derived in terms of a family of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness and applicability.http://dx.doi.org/10.1155/2009/430158 |
| spellingShingle | Chien-Yu Lu Chin-Wen Liao Hsun-Heng Tsai Delay-Range-Dependent Global Robust Passivity Analysis of Discrete-Time Uncertain Recurrent Neural Networks with Interval Time-Varying Delay Discrete Dynamics in Nature and Society |
| title | Delay-Range-Dependent Global Robust Passivity Analysis of Discrete-Time Uncertain Recurrent Neural Networks with Interval Time-Varying Delay |
| title_full | Delay-Range-Dependent Global Robust Passivity Analysis of Discrete-Time Uncertain Recurrent Neural Networks with Interval Time-Varying Delay |
| title_fullStr | Delay-Range-Dependent Global Robust Passivity Analysis of Discrete-Time Uncertain Recurrent Neural Networks with Interval Time-Varying Delay |
| title_full_unstemmed | Delay-Range-Dependent Global Robust Passivity Analysis of Discrete-Time Uncertain Recurrent Neural Networks with Interval Time-Varying Delay |
| title_short | Delay-Range-Dependent Global Robust Passivity Analysis of Discrete-Time Uncertain Recurrent Neural Networks with Interval Time-Varying Delay |
| title_sort | delay range dependent global robust passivity analysis of discrete time uncertain recurrent neural networks with interval time varying delay |
| url | http://dx.doi.org/10.1155/2009/430158 |
| work_keys_str_mv | AT chienyulu delayrangedependentglobalrobustpassivityanalysisofdiscretetimeuncertainrecurrentneuralnetworkswithintervaltimevaryingdelay AT chinwenliao delayrangedependentglobalrobustpassivityanalysisofdiscretetimeuncertainrecurrentneuralnetworkswithintervaltimevaryingdelay AT hsunhengtsai delayrangedependentglobalrobustpassivityanalysisofdiscretetimeuncertainrecurrentneuralnetworkswithintervaltimevaryingdelay |