Nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems

doi:10.1088/1674-1056/19/11/110509

中国物理B ›› 2010, Vol. 19 ›› Issue (11): 110509-110512.doi: 10.1088/1674-1056/19/11/110509

Nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems

贾立新, 戴浩, 惠萌

State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2010-01-27 修回日期:2010-06-04 出版日期:2010-11-15 发布日期:2010-11-15

Nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems

Jia Li-Xin(贾立新), Dai Hao(戴浩)^†, and Hui Meng(惠萌)

State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

Received:2010-01-27 Revised:2010-06-04 Online:2010-11-15 Published:2010-11-15

摘要/Abstract

摘要： 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.

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.

Key words: chaos synchronisation, fractional-order chaotic system, nonlinear feedback control, numerical differentiation

中图分类号: (Numerical differentiation and integration)

02.60.Jh

05.45.Gg (Control of chaos, applications of chaos) 05.45.Xt (Synchronization; coupled oscillators)

贾立新, 戴浩, 惠萌. Nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems[J]. 中国物理B, 2010, 19(11): 110509-110512.

Jia Li-Xin(贾立新), Dai Hao(戴浩), and Hui Meng(惠萌). Nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems[J]. Chin. Phys. B, 2010, 19(11): 110509-110512.

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Nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems

Nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems

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