Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances. (1st November 2022)

• Record Type: Journal Article
• Authors: Fang, Jie; Wei, Da; Yin, NanNan; Yu, PeiZhao; Liu, Peng
• Is Part Of: Communications in theoretical physics. Volume 74:Number 11(2022)
• Publication Date: 2022-11-01
• Subjects: fractional-order complex networks -- time-varying delay -- combination projection synchronization -- adaptive control; Physics -- Periodicals; 530.105
• DOI: 10.1088/1572-9494/ac86bc
• Languages: English
• ISSNs: 0253-6102

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.