Fixed-Time Synchronization of Complex-Valued Coupled Networks with Hybrid Perturbations via Quantized Control

Enli Wu, Yao Wang, Yundong Li, Kelin Li and Fei Luo ()
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Enli Wu: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Yao Wang: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Yundong Li: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Kelin Li: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Fei Luo: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China

Mathematics, 2023, vol. 11, issue 18, 1-18

Abstract: This paper considers the fixed-time synchronization of complex-valued coupled networks (CVCNs) with hybrid perturbations (nonlinear bounded external perturbations and stochastic perturbations). To accomplish the target of fixed-time synchronization, the CVCNs can be separated into their real and imaginary parts and establish real-valued subsystems, a novel quantized controller is designed to overcome the difficulties induced by complex parameters, variables, and disturbances. By means of the Lyapunov stability theorem and the properties of the Wiener process, some sufficient conditions are presented for the selection of control parameters to guarantee the fixed-time synchronization, and an upper bound of the setting time is also obtained, which is only related to parameters of both systems and the controller, not to the initial conditions of the systems. Finally, a numerical simulation is given to show the correctness of theoretical results and the effectiveness of the control strategy.

Keywords: complex-valued coupled networks; fixed-time synchronization; hybrid perturbations; quantized control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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