Weak Projective Synchronization in Drive-Response Dynamical Networks with Time-Varying Delay and Parameter Mismatch
This paper investigates the problem of projective synchronization in drive-response dynamical networks (DRDNs) with time-varying delay and parameter mismatch via impulsive control. Owing to projective factor and parameter mismatch, complete projective synchronization cannot be achieved. Therefore, a...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/356924 |
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| _version_ | 1850163797008842752 |
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| author | Jiang Xu Song Zheng |
| author_facet | Jiang Xu Song Zheng |
| author_sort | Jiang Xu |
| collection | DOAJ |
| description | This paper investigates the problem of projective synchronization in drive-response dynamical networks (DRDNs) with time-varying delay and parameter mismatch via impulsive control. Owing to projective factor and parameter mismatch, complete projective synchronization cannot be achieved. Therefore, a weak projective synchronization scheme is proposed to ensure that the DRDNs are in a state of synchronization with an error level. Based on the stability analysis of the impulsive functional differential equations, a general method of the weak projective synchronization with the error level is derived in DRDNs. Numerical simulations are provided to verify the correctness and effectiveness of the proposed method and results. |
| format | Article |
| id | doaj-art-ed057567f6ec4376a9f0038129fbcb7c |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-ed057567f6ec4376a9f0038129fbcb7c2025-08-20T02:22:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/356924356924Weak Projective Synchronization in Drive-Response Dynamical Networks with Time-Varying Delay and Parameter MismatchJiang Xu0Song Zheng1School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212003, ChinaSchool of Mathematics and Statistics, Zhejiang University of Finance & Economics, Hangzhou, Zhejiang 310018, ChinaThis paper investigates the problem of projective synchronization in drive-response dynamical networks (DRDNs) with time-varying delay and parameter mismatch via impulsive control. Owing to projective factor and parameter mismatch, complete projective synchronization cannot be achieved. Therefore, a weak projective synchronization scheme is proposed to ensure that the DRDNs are in a state of synchronization with an error level. Based on the stability analysis of the impulsive functional differential equations, a general method of the weak projective synchronization with the error level is derived in DRDNs. Numerical simulations are provided to verify the correctness and effectiveness of the proposed method and results.http://dx.doi.org/10.1155/2014/356924 |
| spellingShingle | Jiang Xu Song Zheng Weak Projective Synchronization in Drive-Response Dynamical Networks with Time-Varying Delay and Parameter Mismatch Journal of Applied Mathematics |
| title | Weak Projective Synchronization in Drive-Response Dynamical Networks with Time-Varying Delay and Parameter Mismatch |
| title_full | Weak Projective Synchronization in Drive-Response Dynamical Networks with Time-Varying Delay and Parameter Mismatch |
| title_fullStr | Weak Projective Synchronization in Drive-Response Dynamical Networks with Time-Varying Delay and Parameter Mismatch |
| title_full_unstemmed | Weak Projective Synchronization in Drive-Response Dynamical Networks with Time-Varying Delay and Parameter Mismatch |
| title_short | Weak Projective Synchronization in Drive-Response Dynamical Networks with Time-Varying Delay and Parameter Mismatch |
| title_sort | weak projective synchronization in drive response dynamical networks with time varying delay and parameter mismatch |
| url | http://dx.doi.org/10.1155/2014/356924 |
| work_keys_str_mv | AT jiangxu weakprojectivesynchronizationindriveresponsedynamicalnetworkswithtimevaryingdelayandparametermismatch AT songzheng weakprojectivesynchronizationindriveresponsedynamicalnetworkswithtimevaryingdelayandparametermismatch |