一种新六维Duffing-Lu超混沌系统的同步控制
Synchronization control of a new six-dimensional Duffing-Lu hyper-chaotic system
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摘要: 针对一种新六维Duffing-Lu超混沌系统的同步问题,基于Lyapunov稳定性理论,分别采取非线性同步控制和线性同步控制两种方案,通过选取合适的控制器参数(m)值,使A+mI为正定矩阵从而实现同步.Matlab数值仿真结果表明,在采用相同参数、相同初始值的情况下,两种方案均可实现同步,其中线性同步控制的控制器更为简单,且可以实现参数识别.
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关键词:
- 六维Duffing-Lu超混沌系统 /
- 混沌同步控制 /
- Lyapunov稳定性理论
Abstract: Aiming at synchronization problem of a new six-dimensional Duffing-Lu hyper-chaotic system, a new controller was designed through two different methods of synchronization control and non-synchronization control based on the Lyapunov stability theory. By choosing proper parameter (m) to set A+mI as positive definite matrix, synchronization was realized. Matlab numerical simulations results showed that both the methods could realize synchronization on the condition of the same parameter and same initial value, and the synchronization controller was proved to be simpler and could realize parameter identification. -
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