Flocking Control for Cucker–Smale Model Subject to Denial-of-Service Attacks and Communication Delays

This paper examines the flocking control issue of the Cucker–Smale model in the presence of denial-of-service (DoS) attacks and communication delays. In the setting of DoS attacks, the attacker only obstructs the information communication between agents during the activation phases, while it concent...

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Bibliographic Details
Main Authors: Xiaoyu Shi, Zhuangzhuang Ma, Weicheng Xie, Yong Yang, Kai Chen, Gen Qiu
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/12/13/3000
Description
Summary:This paper examines the flocking control issue of the Cucker–Smale model in the presence of denial-of-service (DoS) attacks and communication delays. In the setting of DoS attacks, the attacker only obstructs the information communication between agents during the activation phases, while it concentrates on supplying its own energy during the dormancy phases. Furthermore, the communication delays are assumed to be time-varying and heterogeneous. Firstly, a general control input scheme that defends against DoS network attacks and communication delays is constructed. Secondly, on the basis of the presented control input and the properties of graph theory, the flocking control issue is equivalently transformed into a products convergence issue of infinite sub-stochastic matrices. Finally, an algebraic condition is obtained to formulate all the agents that asymptotically achieve the flocking behavior. Moreover, the obtained theoretical results are verified by a numerical example.
ISSN:2079-9292