Adaptive Hybrid Function Projective Synchronization of Chaotic Systems with Time-Varying Parameters
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-06
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
The adaptive hybrid function projective synchronization (AHFPS) of different chaotic systems with unknown time-varying parameters is investigated.
Based on the Lyapunov stability theory and adaptive bounding technique, the robust adaptive control law and the parameters update law are derived to make the states of two different chaotic systems asymptotically synchronized.
In the control strategy, the parameters need not be known throughly if the time-varying parameters are bounded by the product of a known function of t and an unknown constant.
In order to avoid the switching in the control signal, a modified robust adaptive synchronization approach with the leakage-like adaptation law is also proposed to guarantee the ultimately uni-formly boundedness (UUB) of synchronization errors.
The schemes are successfully applied to the hybrid function projective synchronization between the Chen system and the Lorenz system and between hyperchaotic Chen system and generalized Lorenz system.
Moreover, numerical simulation results are presented to verify the effectiveness of the proposed scheme.
American Psychological Association (APA)
Xing, Jinsheng. 2012. Adaptive Hybrid Function Projective Synchronization of Chaotic Systems with Time-Varying Parameters. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1001777
Modern Language Association (MLA)
Xing, Jinsheng. Adaptive Hybrid Function Projective Synchronization of Chaotic Systems with Time-Varying Parameters. Mathematical Problems in Engineering No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-1001777
American Medical Association (AMA)
Xing, Jinsheng. Adaptive Hybrid Function Projective Synchronization of Chaotic Systems with Time-Varying Parameters. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1001777
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001777