Generalized projective synchronization of chaotic systems via adaptive learning control  被引量:19

Generalized projective synchronization of chaotic systems via adaptive learning control

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作  者:孙云平 李俊民 王江安 王辉林 

机构地区:[1]Department of Applied Mathematics,Xidian University [2]School of Microelectronics,Xidian University

出  处:《Chinese Physics B》2010年第2期119-126,共8页中国物理B(英文版)

基  金:supported by the National Natural Science Foundation of China (Grant No. 60374015)

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.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.

关 键 词:generalized projective synchronisation chaotic systems adaptive learning control Lyapunov--Krasovskii functional 

分 类 号:O415.5[理学—理论物理] TP273.22[理学—物理]

 

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