Adaptive synchronisation of fractional-order chaotic systems

A new stability theory of nonlinear dynamic systems is proposed, and a novel adaptive synchronisation method is presented for fractional-order chaotic and hyperchaotic systems based on the theory described in this paper. In comparison with previous methods, not only is the present control scheme sim...

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Bibliographic Details
Published in:Chinese physics B 2010-02, Vol.19 (2), p.157-163
Main Author: 张若洵 杨世平
Format: Article
Language:English
Subjects:
Adaptive systems
Chaos theory
Circuits
Control systems
Dynamical systems
Mathematical analysis
Mathematical models
Nonlinear dynamics
分数阶
同步方法
控制方案
收敛速度
稳定性理论
自适应同步
超混沌系统
非线性动态系统
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Summary:A new stability theory of nonlinear dynamic systems is proposed, and a novel adaptive synchronisation method is presented for fractional-order chaotic and hyperchaotic systems based on the theory described in this paper. In comparison with previous methods, not only is the present control scheme simple but also it employs only one control strength, converges very fast, and it is also suitable for a large class of fractional-order chaotic and hyperchaotic systems. Moreover, this scheme is analytical and simple to implement in practice. Numerical and circuit simulations are used to validate and demonstrate the effectiveness of the method.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/19/2/020510