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Nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems |
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| Authors: | Jia Li-Xin Dai Hao Hui Meng |
| Affiliation: | State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China;State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China;State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China |
| Abstract: | This paper focuses on the synchronisation between fractional-order and integer-order chaotic systems. Based on Lyapunov stability theory and numerical differentiation, a nonlinear feedback controller is obtained to achieve the synchronisation between fractional-order and integer-order chaotic systems. Numerical simulation results are presented to illustrate the effectiveness of this method. |
| Keywords: | chaos synchronisation fractional-order chaotic system nonlinear feedback control numerical differentiation |
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