| Generalized projective synchronization of chaotic systems via adaptive learning control |
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| 作者姓名： | 孙云平 李俊民 王江安 王辉林 |
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| 作者单位： | Department of Applied Mathematics, Xidian University, Xi'an \
710071, China;Department of Applied Mathematics, Xidian University, Xi'an \
710071, China;School of Microelectronics, Xidian University, Xi'an 710071,
China;Department of Applied Mathematics, Xidian University, Xi'an \
710071, China |
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| 基金项目： | Project supported by the National
Natural Science Foundation of China (Grant No.~60374015). |
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| 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.
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| 关 键 词： | generalized projective synchronisation chaotic systems adaptive learning control Lyapunov-Krasovskii functional |
| 收稿时间： | 2009-04-30 |
| 修稿时间： | 7/8/2009 12:00:00 AM |
Generalized projective synchronization of chaotic systems via adaptive learning control |
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| Sun Yun-Ping,Li Jun-Min,Wang Jiang-An and Wang Hui-Lin.Generalized projective synchronization of chaotic systems via adaptive learning control[J].Chinese Physics B,2010,19(2):20505-020505. |
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| Authors: | Sun Yun-Ping Li Jun-Min Wang Jiang-An and Wang Hui-Lin |
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| Institution: | Department of Applied Mathematics, Xidian University, Xi'an \
710071, China; School of Microelectronics, Xidian University, Xi'an 710071,
China |
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| 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. |
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| Keywords: | generalized projective synchronisation chaotic systems adaptive learning control Lyapunov--Krasovskii
functional |
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