Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

doi:10.1088/1572-9494/ac86bc

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Communications in Theoretical Physics ›› 2022, Vol. 74 ›› Issue (11): 115002. doi: 10.1088/1572-9494/ac86bc

• Mathematical Physics • Previous Articles Next Articles

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

Jie Fang(), Da Wei, NanNan Yin, PeiZhao Yu, Peng Liu

College of Electrical and information Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450002, China

Received: 2022-03-04 Revised: 2022-08-03 Accepted: 2022-08-04 Published: 2022-10-28
Contact: Jie Fang E-mail:fang0511jie@126.com

Abstract

Abstract:

In this paper, the problem of combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and external interferences is studied. Firstly, the definition of combination projection synchronization of fractional-order complex dynamic networks is given, and the synchronization problem of the drive-response systems is transformed into the stability problem of the error system. In addition, time-varying delays and disturbances are taken into consideration to make the network synchronization more practical and universal. Then, based on Lyapunov stability theory and fractional inequality theory, the adaptive controller is formulated to make the drive and response systems synchronization by the scaling factors. The controller is easier to realize because there is no time-delay term in the controller. At last, the corresponding simulation examples demonstrate the effectiveness of the proposed scheme.

Key words: fractional-order complex networks, time-varying delay, combination projection synchronization, adaptive control

Jie Fang, Da Wei, NanNan Yin, PeiZhao Yu, Peng Liu, Commun. Theor. Phys. 74 (2022) 115002.

Figures/Tables 4

References 41

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Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

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