Control and synchronization of a hyperchaotic finance system via single controller scheme
International Journal of Intelligent Computing and Cybernetics
ISSN: 1756-378X
Article publication date: 9 November 2015
Abstract
Purpose
The purpose of this paper is to study the control and synchronization of the hyperchaotic finance system.
Design/methodology/approach
A single controller scheme is introduced. The Routh-Hurwitz criteria and the structure of solution of first-order linear differential equations are adopted in analysis of control and synchronization.
Findings
Two single controllers are designed and added to the new hyperchaotic finance system. The stability of the hyperchaotic finance system at its zero equilibrium point is guaranteed by applying the appropriate single controller signal based on Routh-Hurwitz criteria. Another effective controller is also designed for the global asymptotic synchronization on the hyperchaotic finance system based on the structure of solution of first-order linear differential equations. Numerical simulations are demonstrated to verify the effectiveness of the proposed single controller scheme.
Originality/value
The introduced approach is interesting for control and synchronization the hyperchaotic finance system.
Keywords
Acknowledgements
This work was jointly supported by Macau Science and Technology Development Fund (Grant Nos 108/2012/A3, 110/2013/A3), National Natural Science Foundation of China (Grant Nos 51275353, 51575544), Research Committee of University of Macau (Grant Nos MYRG183(Y1-L3)FST11-LYM, MYRG203(Y1-L4)-FST11-LYM), Research Foundation of Department of Education of Sichuan Province (Grant Nos 14ZA0203 and 14ZB0210), Open Foundation of Enterprise Informatization and Internet of Things Key Laboratory of Sichuan Province (Grant Nos 2014WYJ01 and 2013WYY06), Open Foundation of Artificial Intelligence Key Laboratory of Sichuan Province (Grant Nos 2014RYY02, 2013RYJ01 and 2012RYJ01), Science Foundation of Sichuan University of Science & Engineering (Grant Nos 2014PY14 and 2012KY19).
Citation
He, P. and Li, Y. (2015), "Control and synchronization of a hyperchaotic finance system via single controller scheme", International Journal of Intelligent Computing and Cybernetics, Vol. 8 No. 4, pp. 330-344. https://doi.org/10.1108/IJICC-06-2015-0019
Publisher
:Emerald Group Publishing Limited
Copyright © 2015, Emerald Group Publishing Limited