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...

Full description

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
_version_ 1797591829318729728
author Xiaoyu Shi
Zhuangzhuang Ma
Weicheng Xie
Yong Yang
Kai Chen
Gen Qiu
author_facet Xiaoyu Shi
Zhuangzhuang Ma
Weicheng Xie
Yong Yang
Kai Chen
Gen Qiu
author_sort Xiaoyu Shi
collection DOAJ
description 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.
first_indexed 2024-03-11T01:42:55Z
format Article
id doaj.art-583eac0a42be48f3af9b226b176e421b
institution Directory Open Access Journal
issn 2079-9292
language English
last_indexed 2024-03-11T01:42:55Z
publishDate 2023-07-01
publisher MDPI AG
record_format Article
series Electronics
spelling doaj.art-583eac0a42be48f3af9b226b176e421b2023-11-18T16:26:34ZengMDPI AGElectronics2079-92922023-07-011213300010.3390/electronics12133000Flocking Control for Cucker–Smale Model Subject to Denial-of-Service Attacks and Communication DelaysXiaoyu Shi0Zhuangzhuang Ma1Weicheng Xie2Yong Yang3Kai Chen4Gen Qiu5School of Electrical Engineering and Electronic Information, Xihua University, Chengdu 610039, ChinaSchool of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Electrical Engineering and Electronic Information, Xihua University, Chengdu 610039, ChinaSchool of Electrical Engineering and Electronic Information, Xihua University, Chengdu 610039, ChinaSchool of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaThis 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.https://www.mdpi.com/2079-9292/12/13/3000Cucker–Smale modelflocking controldenial-of-service attackscommunication delays
spellingShingle Xiaoyu Shi
Zhuangzhuang Ma
Weicheng Xie
Yong Yang
Kai Chen
Gen Qiu
Flocking Control for Cucker–Smale Model Subject to Denial-of-Service Attacks and Communication Delays
Electronics
Cucker–Smale model
flocking control
denial-of-service attacks
communication delays
title Flocking Control for Cucker–Smale Model Subject to Denial-of-Service Attacks and Communication Delays
title_full Flocking Control for Cucker–Smale Model Subject to Denial-of-Service Attacks and Communication Delays
title_fullStr Flocking Control for Cucker–Smale Model Subject to Denial-of-Service Attacks and Communication Delays
title_full_unstemmed Flocking Control for Cucker–Smale Model Subject to Denial-of-Service Attacks and Communication Delays
title_short Flocking Control for Cucker–Smale Model Subject to Denial-of-Service Attacks and Communication Delays
title_sort flocking control for cucker smale model subject to denial of service attacks and communication delays
topic Cucker–Smale model
flocking control
denial-of-service attacks
communication delays
url https://www.mdpi.com/2079-9292/12/13/3000
work_keys_str_mv AT xiaoyushi flockingcontrolforcuckersmalemodelsubjecttodenialofserviceattacksandcommunicationdelays
AT zhuangzhuangma flockingcontrolforcuckersmalemodelsubjecttodenialofserviceattacksandcommunicationdelays
AT weichengxie flockingcontrolforcuckersmalemodelsubjecttodenialofserviceattacksandcommunicationdelays
AT yongyang flockingcontrolforcuckersmalemodelsubjecttodenialofserviceattacksandcommunicationdelays
AT kaichen flockingcontrolforcuckersmalemodelsubjecttodenialofserviceattacksandcommunicationdelays
AT genqiu flockingcontrolforcuckersmalemodelsubjecttodenialofserviceattacksandcommunicationdelays