Generalized projective synchronization of chaotic systems via adaptive learning control

doi:10.1088/1674-1056/19/2/020505

中国物理B ›› 2010, Vol. 19 ›› Issue (2): 20505-020505.doi: 10.1088/1674-1056/19/2/020505

Generalized projective synchronization of chaotic systems via adaptive learning control

孙云平¹, 李俊民¹, 王辉林¹, 王江安²

(1)Department of Applied Mathematics, Xidian University, Xi'an \ 710071, China; (2)School of Microelectronics, Xidian University, Xi'an 710071, China

收稿日期:2009-04-30 修回日期:2009-07-08 出版日期:2010-02-15 发布日期:2010-02-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.~60374015).

Generalized projective synchronization of chaotic systems via adaptive learning control

Sun Yun-Ping(孙云平)^a)†, Li Jun-Min(李俊民)^a), Wang Jiang-An(王江安)^b), and Wang Hui-Lin(王辉林)^a)

^a Department of Applied Mathematics, Xidian University, Xi'an 710071, China; ^b School of Microelectronics, Xidian University, Xi'an 710071, China

Received:2009-04-30 Revised:2009-07-08 Online:2010-02-15 Published:2010-02-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.~60374015).

摘要/Abstract

摘要： In this paper, a learning control approach is applied to the generalized projective synchronisation (GPS) of different chaotic systems with unknown periodically time-varying parameters. Using the Lyapunov--Krasovskii functional stability theory, a differential-difference mixed parametric learning law and an adaptive learning control law are constructed to make the states of two different chaotic systems asymptotically synchronised. The scheme is successfully applied to the generalized projective synchronisation between the Lorenz system and Chen system. Moreover, numerical simulations results are used to verify the effectiveness of the proposed scheme.

Abstract: In this paper, a learning control approach is applied to the generalized projective synchronisation (GPS) of different chaotic systems with unknown periodically time-varying parameters. Using the Lyapunov--Krasovskii functional stability theory, a differential-difference mixed parametric learning law and an adaptive learning control law are constructed to make the states of two different chaotic systems asymptotically synchronised. The scheme is successfully applied to the generalized projective synchronisation between the Lorenz system and Chen system. Moreover, numerical simulations results are used to verify the effectiveness of the proposed scheme.

Key words: generalized projective synchronisation, chaotic systems, adaptive learning control, Lyapunov--Krasovskii functional

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Pq (Numerical simulations of chaotic systems) 05.45.Gg (Control of chaos, applications of chaos) 02.30.Yy (Control theory)

孙云平, 李俊民, 王江安, 王辉林. Generalized projective synchronization of chaotic systems via adaptive learning control[J]. 中国物理B, 2010, 19(2): 20505-020505.

Sun Yun-Ping(孙云平), Li Jun-Min(李俊民), Wang Jiang-An(王江安), and Wang Hui-Lin(王辉林). Generalized projective synchronization of chaotic systems via adaptive learning control[J]. Chin. Phys. B, 2010, 19(2): 20505-020505.

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Generalized projective synchronization of chaotic systems via adaptive learning control

Generalized projective synchronization of chaotic systems via adaptive learning control

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