Scaled consensus design for multiagent systems under DoS attacks and communication-delays

• Published in: Journal of the Franklin Institute Vol. 358; no. 7; pp. 3901 - 3918
• Main Authors: Karaki, Bilal J., Mahmoud, Magdi S.
• Format: Journal Article
• Language: English
• Published: Elmsford Elsevier Ltd 01-05-2021; Elsevier Science Ltd
• Subjects: Denial of service attacks; Graphs; Linear matrix inequalities; Linear systems; Mathematical analysis; Mathematical models; Multiagent systems; Simulation; Switching; Terrorism
• ISSN: 0016-0032; 1879-2693; 0016-0032
• DOI: 10.1016/j.jfranklin.2021.02.031

This paper aims to solve scaled consensus problem for general linear multiagent systems under denial-of-service (DoS) attacks. Firstly, we propose a new scaled disagreement vector and investigate its properties under switching and undirected graphs. Secondly, we establish sufficient conditions in terms of linear matrix inequalities in order to guarantee that the multiagent system achieves scaled consensus under DoS attacks. Contrary to most existing studies where DoS attacks on all the channels are same, in this note, we formulate the problem such that the adversary compromises each agent independently. Moreover, the distributed consensus protocol is investigated for networks with time-varying delay. Finally, two simulation examples are given to demonstrate effectiveness of the proposed design methodologies.