Anti-synchronization of fractional-order chaotic complex systems with unknown parameters via adaptive control
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Authors
Cuimei Jiang
- School of Science, Qilu University of Technology, Jinan, Shandong 250353, P. R. China.
- College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, P. R. China.
Fangfang Zhang
- School of Electrical Engineering and Automation, Qilu University of Technology, Jinan, Shandong 250353, P. R. China.
Haiyong Qin
- School of Mathematics, Qilu Normal University, Jinan, Shandong 250013, P. R. China.
Tongxing Li
- LinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Linyi University, Linyi, Shandong 276005, P. R. China.
- School of Information Science and Engineering, Linyi University, Linyi, Shandong 276005, P. R. China.
Abstract
This paper is concerned with adaptive control for anti-synchronization of a class of uncertain fractional-order chaotic complex systems described by a unified mathematical expression.
By utilizing the recently established result for the Caputo fractional derivative of a quadratic function
and employing the adaptive control technique, we design controllers and some fractional-order
parameter update laws
to anti-synchronize two fractional-order chaotic complex systems with unknown parameters.
The proposed method has generality, simplicity, and feasibility.
Moreover, anti-synchronization between uncertain fractional-order complex Lorenz system and fractional-order complex Lu system is implemented as an example to demonstrate the effectiveness and feasibility of the proposed scheme.
Share and Cite
ISRP Style
Cuimei Jiang, Fangfang Zhang, Haiyong Qin, Tongxing Li, Anti-synchronization of fractional-order chaotic complex systems with unknown parameters via adaptive control, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 5608--5621
AMA Style
Jiang Cuimei, Zhang Fangfang, Qin Haiyong, Li Tongxing, Anti-synchronization of fractional-order chaotic complex systems with unknown parameters via adaptive control. J. Nonlinear Sci. Appl. (2017); 10(11):5608--5621
Chicago/Turabian Style
Jiang, Cuimei, Zhang, Fangfang, Qin, Haiyong, Li, Tongxing. "Anti-synchronization of fractional-order chaotic complex systems with unknown parameters via adaptive control." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 5608--5621
Keywords
- Adaptive control
- anti-synchronization
- fractional-order chaotic complex system
- quadratic Lyapunov function
MSC
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