The synchronization of a fractional order hyperchaotic system based on passive control

This paper investigates the synchronization of a fractional order hyperchaotic system using passive control. A passive controller is designed, based on the properties of a passive system. Then the synchronization between two fractional order hyperchaotic systems under different initial conditions is...

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Bibliographic Details
Published inChinese physics B Vol. 20; no. 6; pp. 100 - 106
Main Author 吴朝俊 张彦斌 杨宁宁
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.06.2011
Subjects
Computer simulation
Control systems
Initial conditions
Mathematical analysis
Passive control
Stability
Synchronism
Synchronization
分数阶系统
同步
控制器设计
模拟验证
稳定性定理
被动控制
被动系统
超混沌系统
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Summary:This paper investigates the synchronization of a fractional order hyperchaotic system using passive control. A passive controller is designed, based on the properties of a passive system. Then the synchronization between two fractional order hyperchaotic systems under different initial conditions is realized, on the basis of the stability theorem for fractional order systems. Numerical simulations and circuitry simulations are presented to verify the analytical results.
Bibliography:Wu Chao-Jun, Zhang Yan-Bin, and Yang Ning-Ning（ state Key Laboratory of Electrical Insulation and Power Equipment, Xi＇an 710049, China b） School of Electrical Engineering, Xi＇an Jiaotong University, Xi＇an 710049, China
This paper investigates the synchronization of a fractional order hyperchaotic system using passive control. A passive controller is designed, based on the properties of a passive system. Then the synchronization between two fractional order hyperchaotic systems under different initial conditions is realized, on the basis of the stability theorem for fractional order systems. Numerical simulations and circuitry simulations are presented to verify the analytical results.
fractional order hyperchaos, passive control, numerical simulation, circuitry simulation
11-5639/O4
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SourceType-Scholarly Journals-1
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ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/20/6/060505