Resilient Consensus for Robust Multiplex Networks with Asymmetric Confidence Intervals

Shang, Yilun (2021) Resilient Consensus for Robust Multiplex Networks with Asymmetric Confidence Intervals. IEEE Transactions on Network Science and Engineering, 8 (1). pp. 65-74. ISSN 2334-329X

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The consensus problem with asymmetric confidence intervals considered in this paper is characterized by the fact that each agent can have optimistic and/or pessimistic interactions with its neighbors. To deal with the asymmetric confidence scenarios, we introduce a novel multiplex network presentation for directed graphs and its associated connectivity concepts including the pseudo-strongly connectivity and graph robustness, which provide a resilience characterization in the presence of malicious nodes. We develop distributed resilient consensus strategies for a group of dynamical agents with locally bounded Byzantine agents in both continuous-time and discrete-time multi-agent systems. Drawing on our multiplex network framework, much milder connectivity conditions compared to existing works are proposed to ensure resilient consensus. The results are further extended to cope with resilient scaled consensus problems which allow both cooperative and antagonistic agreements among agents. Numerical examples are also exhibited to confirm the theoretical results and reveal the factors that affect the speed of convergence in our multiplex network framework.

Item Type: Article
Additional Information: Funding information: This work was supported in part by the UoA Flexible Fund No.201920A1001 from Northumbria University.
Uncontrolled Keywords: Consensus, robust multiplex network, multiagent system, asymmetric interaction
Subjects: G400 Computer Science
Department: Faculties > Engineering and Environment > Computer and Information Sciences
Depositing User: John Coen
Date Deposited: 20 Oct 2020 12:42
Last Modified: 31 Jul 2021 16:08

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