Adaptive lag synchronization and parameter identification of fractional order chaotic systems

This paper proposes a simple scheme for the lag synchronization and the parameter identification of fractional order chaotic systems based on the new stability theory. The lag synchronization is achieved and the unknown parameters are identified by using the adaptive lag laws. Moreover, the scheme i...

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Bibliographic Details
Published in:Chinese physics B 2011-09, Vol.20 (9), p.132-135
Main Author: 张若洵 杨世平
Format: Article
Language:English
Subjects:
Adaptive systems
Chaos theory
Laws
Mathematical analysis
Parameter identification
Stability
Synchronism
Synchronization
分数阶
参数识别
参数辨识
同步
混沌系统
滞后
稳定性理论
自适应
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Summary:This paper proposes a simple scheme for the lag synchronization and the parameter identification of fractional order chaotic systems based on the new stability theory. The lag synchronization is achieved and the unknown parameters are identified by using the adaptive lag laws. Moreover, the scheme is analytical and is simple to implement in practice. The well-known fractional order chaotic L/i system is used to illustrate the validity of this theoretic method.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/20/9/090512