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Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control
Joint Authors
Silva-Ortigoza, R.
Pérez-Cruz, J. Humberto
Tamayo-Meza, Pedro Alejandro
Figueroa, Maricela
Ponce-Silva, Mario
Rivera-Blas, R.
Aldape-Pérez, Mario
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-25
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, a new linear feedback controller for synchronization of two identical chaotic systems in a master-slave configuration is presented.
This controller requires knowing a priori Lipschitz constant of the nonlinear function of the chaotic system on its attractor.
The controller development is based on an algebraic Riccati equation.
If the gain matrix and the matrices of Riccati equation are selected in such a way that a unique positive definite solution is obtained for this equation, then, with respect to previous works, a stronger result can be guaranteed here: the exponential convergence to zero of the synchronization error.
Additionally, the nonideal case is also studied, that is, when unmodeled dynamics and/or disturbances are present in both master system and slave system.
On this new condition, the synchronization error does not converge to zero anymore.
However, it is still possible to guarantee the exponential convergence to a bounded zone.
Numerical simulation confirms the satisfactory performance of the suggested approach.
American Psychological Association (APA)
Pérez-Cruz, J. Humberto& Tamayo-Meza, Pedro Alejandro& Figueroa, Maricela& Silva-Ortigoza, R.& Ponce-Silva, Mario& Rivera-Blas, R.…[et al.]. 2019. Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control. Complexity،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1131887
Modern Language Association (MLA)
Pérez-Cruz, J. Humberto…[et al.]. Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control. Complexity No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1131887
American Medical Association (AMA)
Pérez-Cruz, J. Humberto& Tamayo-Meza, Pedro Alejandro& Figueroa, Maricela& Silva-Ortigoza, R.& Ponce-Silva, Mario& Rivera-Blas, R.…[et al.]. Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control. Complexity. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1131887
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131887