Adaptive modified function projective synchronization of hyperchaotic systems with unknown parameters

Adaptive modified function projective synchronization of hyperchaotic systems with unknown parameters
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DOI:
10.1016/j.cnsns.2009.12.010
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发表时间:
2010-11
影响因子:
3.9
通讯作者:
Song Zheng;Gaogao Dong;Qinsheng Bi
Song Zheng;Gaogao Dong;Qinsheng Bi
中科院分区:
数学2区
文献类型:
--
作者:
Song Zheng;Gaogao Dong;Qinsheng Bi

文献摘要

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研究了参数未知的超混沌系统的自适应修正函数投影同步问题。基于Lyapunov稳定性定理和自适应控制方法,不仅可以为两个完全相同的超混沌系统之间的MFP,特别是两个参数完全未知或部分未知的不同超混沌系统之间的MFP设计自适应控制器和参数更新律。此外,耦合强度可以自动适应更新的定律。数值仿真结果表明了所提出的同步方案的有效性。
This paper is involved with the adaptive modified function projective synchronization (MFPS) problem of hyperchaotic systems with unknown parameters. Based on the Lyapunov stability theorem and adaptive control method, adaptive controllers and parameters update laws can be presented for the MFPS not only between two identical hyperchaotic systems but particularly also between two different hyperchaotic systems with fully unknown or partially unknown parameters. Moreover, the coupling strength can be automatically adapted to a updated law. Numerical simulations are presented to show the effectiveness of the proposed synchronization schemes.