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 inChinese physics B Vol. 20; no. 9; pp. 132 - 135
Main Author 张若洵 杨世平
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.09.2011
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
Online AccessGet full text
ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/20/9/090512

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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.
Bibliography:Zhang Ruo-Xun and Yang Shi-Ping a） College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China b） College of Elementary Education, Xingtai University, Xingtai 054001, China
adaptive lag synchronization, parameter identification, fractional order chaotic system
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.
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/20/9/090512