Uniform of four fractional-order nonlinear feedback synchronizations

This paper designs four fractional order nonlinear feedback synchronizations with the simple configuration, followed with their uniform. The closed system's stability is proved based on the fractional order stability theory. Resorted to the fractional order unified chaotic system, it is illustr...

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Bibliographic Details
Published in:Optik (Stuttgart) 2014-01, Vol.125 (16), p.4508-4512
Main Author: Zhang, Longge
Format: Article
Language:English
Subjects:
Feedback control
Fractional order calculus
Synchronization
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Summary:This paper designs four fractional order nonlinear feedback synchronizations with the simple configuration, followed with their uniform. The closed system's stability is proved based on the fractional order stability theory. Resorted to the fractional order unified chaotic system, it is illustrated that the uniform includes the active, ordinary, dislocated, speed nonlinear feedback synchronizations and their mixed formulations. Numerical simulations show the effectiveness of the proposed methods.
ISSN:0030-4026
1618-1336
DOI:10.1016/j.ijleo.2014.02.018