Delay-Dependent Stability Criteria of Uncertain Periodic Switched Recurrent Neural Networks with Time-Varying Delays
This paper deals with the problem of delay-dependent stability criterion of uncertain periodic switched recurrent neural networks with time-varying delays. When uncertain discrete-time recurrent neural network is a periodic system, it is expressed as switched neural network for the finite switching...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/325371 |
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| _version_ | 1832568420365762560 |
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| author | Xing Yin Jun Li Weigen Wu Qiranrong Tan |
| author_facet | Xing Yin Jun Li Weigen Wu Qiranrong Tan |
| author_sort | Xing Yin |
| collection | DOAJ |
| description | This paper deals with the problem of delay-dependent stability criterion of
uncertain periodic switched recurrent neural networks with time-varying delays. When uncertain discrete-time recurrent neural network is a periodic system, it is expressed as switched neural network for the finite switching state. Based on the switched quadratic Lyapunov functional approach (SQLF) and free-weighting matrix approach (FWM), some linear matrix inequality criteria are found to guarantee the delay-dependent asymptotical stability of these systems. Two examples illustrate the exactness of the proposed criteria. |
| format | Article |
| id | doaj-art-3467099335984ab8b31e146ccd5f9691 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3467099335984ab8b31e146ccd5f96912025-02-03T00:59:06ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/325371325371Delay-Dependent Stability Criteria of Uncertain Periodic Switched Recurrent Neural Networks with Time-Varying DelaysXing Yin0Jun Li1Weigen Wu2Qiranrong Tan3College of Computer Science, Panzhihua University, Panzhihua 617000, ChinaSchool of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing 219004, ChinaCollege of Computer Science, Panzhihua University, Panzhihua 617000, ChinaCollege of Computer Science, Panzhihua University, Panzhihua 617000, ChinaThis paper deals with the problem of delay-dependent stability criterion of uncertain periodic switched recurrent neural networks with time-varying delays. When uncertain discrete-time recurrent neural network is a periodic system, it is expressed as switched neural network for the finite switching state. Based on the switched quadratic Lyapunov functional approach (SQLF) and free-weighting matrix approach (FWM), some linear matrix inequality criteria are found to guarantee the delay-dependent asymptotical stability of these systems. Two examples illustrate the exactness of the proposed criteria.http://dx.doi.org/10.1155/2011/325371 |
| spellingShingle | Xing Yin Jun Li Weigen Wu Qiranrong Tan Delay-Dependent Stability Criteria of Uncertain Periodic Switched Recurrent Neural Networks with Time-Varying Delays Discrete Dynamics in Nature and Society |
| title | Delay-Dependent Stability Criteria of Uncertain Periodic Switched Recurrent Neural Networks with Time-Varying Delays |
| title_full | Delay-Dependent Stability Criteria of Uncertain Periodic Switched Recurrent Neural Networks with Time-Varying Delays |
| title_fullStr | Delay-Dependent Stability Criteria of Uncertain Periodic Switched Recurrent Neural Networks with Time-Varying Delays |
| title_full_unstemmed | Delay-Dependent Stability Criteria of Uncertain Periodic Switched Recurrent Neural Networks with Time-Varying Delays |
| title_short | Delay-Dependent Stability Criteria of Uncertain Periodic Switched Recurrent Neural Networks with Time-Varying Delays |
| title_sort | delay dependent stability criteria of uncertain periodic switched recurrent neural networks with time varying delays |
| url | http://dx.doi.org/10.1155/2011/325371 |
| work_keys_str_mv | AT xingyin delaydependentstabilitycriteriaofuncertainperiodicswitchedrecurrentneuralnetworkswithtimevaryingdelays AT junli delaydependentstabilitycriteriaofuncertainperiodicswitchedrecurrentneuralnetworkswithtimevaryingdelays AT weigenwu delaydependentstabilitycriteriaofuncertainperiodicswitchedrecurrentneuralnetworkswithtimevaryingdelays AT qiranrongtan delaydependentstabilitycriteriaofuncertainperiodicswitchedrecurrentneuralnetworkswithtimevaryingdelays |