Adaptive control and synchronization of a novel hyperchaotic system with uncertain parameters

Adaptive control and synchronization of a novel hyperchaotic system with uncertain parameters
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DOI:
10.1016/j.amc.2008.04.004
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发表时间:
2008-09
期刊:
Appl. Math. Comput.
影响因子:
--
通讯作者:
Xiaobing Zhou;Yue Wu;Yi Li;Hongquan Xue
Xiaobing Zhou;Yue Wu;Yi Li;Hongquan Xue
中科院分区:
其他
文献类型:
--
作者:
Xiaobing Zhou;Yue Wu;Yi Li;Hongquan Xue

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研究了一个新的参数不确定超混沌系统的控制与同步问题。基于李雅普诺夫稳定性理论和自适应控制理论,将该不确定超混沌系统抑制到不稳定平衡点。此外,通过设计自适应控制律和参数估计更新律,实现了两个相同的不确定超混沌系统的同步。数值模拟证明了分析结果。
In this paper, the problems of control and synchronization of a novel hyperchaotic system with uncertain parameters are studied. Based on the Lyapunov stability theory and the adaptive control theory, this uncertain hyperchaotic system is suppressed to its unstable equilibrium. Furthermore, synchronization between two identical uncertain hyperchaotic systems is achieved by proposing an adaptive control law and a parameter estimation update law. Numerical simulations are presented to demonstrate the analytical results.