Rate Estimation of Identical Synchronization by Designing Controllers
This paper investigates the synchronization rate for identical synchronization of chaotic dynamical systems, achieved by using controllers. The paper stresses on the hybrid feedback control technique and the tracking control technique and determines their corresponding maximum, minimum, and average...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/590462 |
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| _version_ | 1832563954364186624 |
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| author | Mitul Islam Bipul Islam Nurul Islam |
| author_facet | Mitul Islam Bipul Islam Nurul Islam |
| author_sort | Mitul Islam |
| collection | DOAJ |
| description | This paper investigates the synchronization rate for identical synchronization of chaotic dynamical systems, achieved by using controllers. The paper stresses on the hybrid feedback control technique and the tracking control technique and determines their corresponding maximum, minimum, and average synchronization rates. The results obtained are applied on the Shimizu-Morioka chaotic system, and some necessary and sufficient conditions for synchronization are obtained. Comparison of the two controllers is undertaken on the basis of their synchronization rates, in the context of the Shimizu-Morioka system. The results are analyzed both theoretically and numerically. Moreover, a method of graphical analysis is proposed to completely characterize the set of hybrid controllers for a given system. |
| format | Article |
| id | doaj-art-f7d25c3d5b7e4c8eae5f18bf6ad9ac66 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-f7d25c3d5b7e4c8eae5f18bf6ad9ac662025-02-03T01:12:12ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/590462590462Rate Estimation of Identical Synchronization by Designing ControllersMitul Islam0Bipul Islam1Nurul Islam2Department of Mathematics, Jadavpur University, Jadavpur, Kolkata 700032, IndiaIndian Statistical Institute, 203 B. T. Road, Barrackpore, Kolkata 700108, IndiaRamakrishna Mission Residential College (Autonomous), Narendrapur, Kolkata 700103, IndiaThis paper investigates the synchronization rate for identical synchronization of chaotic dynamical systems, achieved by using controllers. The paper stresses on the hybrid feedback control technique and the tracking control technique and determines their corresponding maximum, minimum, and average synchronization rates. The results obtained are applied on the Shimizu-Morioka chaotic system, and some necessary and sufficient conditions for synchronization are obtained. Comparison of the two controllers is undertaken on the basis of their synchronization rates, in the context of the Shimizu-Morioka system. The results are analyzed both theoretically and numerically. Moreover, a method of graphical analysis is proposed to completely characterize the set of hybrid controllers for a given system.http://dx.doi.org/10.1155/2013/590462 |
| spellingShingle | Mitul Islam Bipul Islam Nurul Islam Rate Estimation of Identical Synchronization by Designing Controllers Journal of Mathematics |
| title | Rate Estimation of Identical Synchronization by Designing Controllers |
| title_full | Rate Estimation of Identical Synchronization by Designing Controllers |
| title_fullStr | Rate Estimation of Identical Synchronization by Designing Controllers |
| title_full_unstemmed | Rate Estimation of Identical Synchronization by Designing Controllers |
| title_short | Rate Estimation of Identical Synchronization by Designing Controllers |
| title_sort | rate estimation of identical synchronization by designing controllers |
| url | http://dx.doi.org/10.1155/2013/590462 |
| work_keys_str_mv | AT mitulislam rateestimationofidenticalsynchronizationbydesigningcontrollers AT bipulislam rateestimationofidenticalsynchronizationbydesigningcontrollers AT nurulislam rateestimationofidenticalsynchronizationbydesigningcontrollers |