Geodesic
Anti-synchronization of fractional-order chaotic complex systems with unknown parameters via adaptive control
Jiang, Cuimei 1 ; Zhang, Fangfang 2 ; Qin, Haiyong 3 ; Li, Tongxing4
1 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
2 School of Electrical Engineering and Automation, Qilu University of Technology, Jinan, Shandong 250353, P. R. China
3 School of Mathematics, Qilu Normal University, Jinan, Shandong 250013, P. R. China
4 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
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 11, p. 5608-5621.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.11.02
Classification : 34C28, 34D06
Keywords: Adaptive control, anti-synchronization, fractional-order chaotic complex system, quadratic Lyapunov function

Jiang, Cuimei  1 ; Zhang, Fangfang  2 ; Qin, Haiyong  3 ; Li, Tongxing 4

1 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
2 School of Electrical Engineering and Automation, Qilu University of Technology, Jinan, Shandong 250353, P. R. China
3 School of Mathematics, Qilu Normal University, Jinan, Shandong 250013, P. R. China
4 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 
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     title = {Anti-synchronization of fractional-order chaotic complex systems with unknown parameters via adaptive control},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {5608-5621},
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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 its applications, Tome 10 (2017) no. 11, p. 5608-5621. doi : 10.22436/jnsa.010.11.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.11.02/

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