Adaptive Synchronization and Antisynchronization of a Hyperchaotic Complex Chen System with Unknown Parameters Based on Passive Control
This paper investigates the synchronization and antisynchronization problems of a hyperchaotic complex Chen system with unknown parameters based on the properties of a passive system. The essential conditions are derived under which the synchronization or antisynchronization error dynamical system c...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/845253 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562849988214784 |
|---|---|
| author | Xiaobing Zhou Lianglin Xiong Weiwei Cai Xiaomei Cai |
| author_facet | Xiaobing Zhou Lianglin Xiong Weiwei Cai Xiaomei Cai |
| author_sort | Xiaobing Zhou |
| collection | DOAJ |
| description | This paper investigates the synchronization and antisynchronization problems of a hyperchaotic complex Chen system with unknown parameters based on the properties of a passive system. The essential conditions are derived under which the synchronization or antisynchronization error dynamical system could be equivalent to a passive system and be globally asymptotically stabilized at a zero equilibrium point via smooth state feedback. Corresponding parameter estimation update laws are obtained to estimate the unknown parameters as well. Numerical simulations verify the effectiveness of the theoretical analysis. |
| format | Article |
| id | doaj-art-fd3c9299ed1a4b4da619958f261713d2 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-fd3c9299ed1a4b4da619958f261713d22025-02-03T01:21:42ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/845253845253Adaptive Synchronization and Antisynchronization of a Hyperchaotic Complex Chen System with Unknown Parameters Based on Passive ControlXiaobing Zhou0Lianglin Xiong1Weiwei Cai2Xiaomei Cai3School of Information Science and Engineering, Yunnan University, Kunming 650091, ChinaSchool of Mathematics and Computer Science, Yunnan University of Nationalities, Kunming 650031, ChinaSchool of Information Science and Engineering, Yunnan University, Kunming 650091, ChinaBureau of Asset Management, Yunnan University, Kunming 650091, ChinaThis paper investigates the synchronization and antisynchronization problems of a hyperchaotic complex Chen system with unknown parameters based on the properties of a passive system. The essential conditions are derived under which the synchronization or antisynchronization error dynamical system could be equivalent to a passive system and be globally asymptotically stabilized at a zero equilibrium point via smooth state feedback. Corresponding parameter estimation update laws are obtained to estimate the unknown parameters as well. Numerical simulations verify the effectiveness of the theoretical analysis.http://dx.doi.org/10.1155/2013/845253 |
| spellingShingle | Xiaobing Zhou Lianglin Xiong Weiwei Cai Xiaomei Cai Adaptive Synchronization and Antisynchronization of a Hyperchaotic Complex Chen System with Unknown Parameters Based on Passive Control Journal of Applied Mathematics |
| title | Adaptive Synchronization and Antisynchronization of a Hyperchaotic Complex Chen System with Unknown Parameters Based on Passive Control |
| title_full | Adaptive Synchronization and Antisynchronization of a Hyperchaotic Complex Chen System with Unknown Parameters Based on Passive Control |
| title_fullStr | Adaptive Synchronization and Antisynchronization of a Hyperchaotic Complex Chen System with Unknown Parameters Based on Passive Control |
| title_full_unstemmed | Adaptive Synchronization and Antisynchronization of a Hyperchaotic Complex Chen System with Unknown Parameters Based on Passive Control |
| title_short | Adaptive Synchronization and Antisynchronization of a Hyperchaotic Complex Chen System with Unknown Parameters Based on Passive Control |
| title_sort | adaptive synchronization and antisynchronization of a hyperchaotic complex chen system with unknown parameters based on passive control |
| url | http://dx.doi.org/10.1155/2013/845253 |
| work_keys_str_mv | AT xiaobingzhou adaptivesynchronizationandantisynchronizationofahyperchaoticcomplexchensystemwithunknownparametersbasedonpassivecontrol AT lianglinxiong adaptivesynchronizationandantisynchronizationofahyperchaoticcomplexchensystemwithunknownparametersbasedonpassivecontrol AT weiweicai adaptivesynchronizationandantisynchronizationofahyperchaoticcomplexchensystemwithunknownparametersbasedonpassivecontrol AT xiaomeicai adaptivesynchronizationandantisynchronizationofahyperchaoticcomplexchensystemwithunknownparametersbasedonpassivecontrol |