Delayed impulsive control for synchronization of complex-valued stochastic complex network with unbounded delays under cyber attacks

• Published in: Chaos, solitons and fractals Vol. 180; p. 114526
• Main Authors: Chen, Zanbo, Huo, Chenxu, Zou, Xiaoling, Li, Wenxue
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.03.2024
• Subjects: Complex-valued networks; Delayed impulsive control; Network attacks; Unbounded time delays; Unbounded time delays; Delayed impulsive control; Complex-valued networks; Network attacks
• ISSN: 0960-0779
• DOI: 10.1016/j.chaos.2024.114526

In this paper, we study the synchronization of complex-valued stochastic complex networks (SCNs) with unbounded time delays via unbounded impulsive control under cyber attacks. This paper considers unbounded delays for the first time in complex networks. By the combination of Lyapunov–Razumikhin method and graph theory, several criteria for realizing pth moment exponential synchronization (PMES) can be obtained, which are associated with the intensity of impulsive control, unbounded time delays and cyber attacks. In the end, we search the PMES of a class of complex-valued stochastic coupled Chua’s circuit systems under network attacks to validate the reliability and effectiveness of the results. •This paper considers unbounded delays for the first time in complex networks.•The delayed impulsive controls used in this article is allowed to be unbounded.•We introduce the delayed impulsive controller that is subject to deception attacks.•This paper deals with system states that is complex-valued.•In this paper, we relax the condition that it is not required that the derivative of the Lyapunov function is not always less than 0.