Adaptive Impulsive Observer for Outer Synchronization of Delayed Complex Dynamical Networks with Output Coupling
The synchronization problem of two delayed complex dynamical networks with output coupling is investigated by using impulsive hybrid control schemes, where only scalar signals need to be transmitted from the drive network to the response one. Based on the Lyapunov stability theorem and the impulsive...
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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/10.1155/2014/450193 |
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| _version_ | 1849306951935066112 |
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| author | Song Zheng |
| author_facet | Song Zheng |
| author_sort | Song Zheng |
| collection | DOAJ |
| description | The synchronization problem of two delayed complex dynamical networks with output coupling is investigated by using impulsive hybrid control schemes, where only scalar signals need to be transmitted from the drive network to the response one. Based on the Lyapunov stability theorem and the impulsive hybrid control method, some sufficient conditions guaranteeing synchronization of such complex networks are established for both the cases of coupling delay and node delay are considered, respectively. Finally, two illustrative examples with numerical simulations are given to show the feasibility and efficiency of theoretical results. |
| format | Article |
| id | doaj-art-2bb237d155e14dd18d3a73519df8a8d2 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2bb237d155e14dd18d3a73519df8a8d22025-08-20T03:54:56ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/450193450193Adaptive Impulsive Observer for Outer Synchronization of Delayed Complex Dynamical Networks with Output CouplingSong Zheng0School of Mathematics and Statistics, Zhejiang University of Finance & Economics, Hangzhou, Zhejiang 310018, ChinaThe synchronization problem of two delayed complex dynamical networks with output coupling is investigated by using impulsive hybrid control schemes, where only scalar signals need to be transmitted from the drive network to the response one. Based on the Lyapunov stability theorem and the impulsive hybrid control method, some sufficient conditions guaranteeing synchronization of such complex networks are established for both the cases of coupling delay and node delay are considered, respectively. Finally, two illustrative examples with numerical simulations are given to show the feasibility and efficiency of theoretical results.http://dx.doi.org/10.1155/2014/450193 |
| spellingShingle | Song Zheng Adaptive Impulsive Observer for Outer Synchronization of Delayed Complex Dynamical Networks with Output Coupling Journal of Applied Mathematics |
| title | Adaptive Impulsive Observer for Outer Synchronization of Delayed Complex Dynamical Networks with Output Coupling |
| title_full | Adaptive Impulsive Observer for Outer Synchronization of Delayed Complex Dynamical Networks with Output Coupling |
| title_fullStr | Adaptive Impulsive Observer for Outer Synchronization of Delayed Complex Dynamical Networks with Output Coupling |
| title_full_unstemmed | Adaptive Impulsive Observer for Outer Synchronization of Delayed Complex Dynamical Networks with Output Coupling |
| title_short | Adaptive Impulsive Observer for Outer Synchronization of Delayed Complex Dynamical Networks with Output Coupling |
| title_sort | adaptive impulsive observer for outer synchronization of delayed complex dynamical networks with output coupling |
| url | http://dx.doi.org/10.1155/2014/450193 |
| work_keys_str_mv | AT songzheng adaptiveimpulsiveobserverforoutersynchronizationofdelayedcomplexdynamicalnetworkswithoutputcoupling |