Modified Projective Lag Synchronization in Time-Delayed Fractional Order Chaotic Systems

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Year:
2016
Type of Publication:
Article
Keywords:
Chaos, Fractional Order, Lag Synchronization, Projective Synchronization, Time-Delay
Authors:
Sha Wang; Jie Li; Renhao Jin
Journal:
IJISM
Volume:
4
Number:
4
Pages:
136-142
Month:
July
ISSN:
2347-9051
Abstract:
Modified projective lag synchronization of fractional order chaotic systems with time-delay is first investigated. It is shown that the slave system is synchronized with the past states of the driver up to a scaling matrix. The synchronization lag time is generally different from the delay time in the coupled systems. According to the stability theorem of linear time-delayed fractional differential systems, a nonlinear feedback controller is proposed for the synchronization of systems with identical and different structures. Numerical simulations are presented to show the effectiveness of the controller.

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