4.6 Article

Consensus and Clustering of Expressed and Private Opinions in Dynamical Networks Against Attacks

Journal

IEEE SYSTEMS JOURNAL
Volume 14, Issue 2, Pages 2078-2084

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JSYST.2019.2956116

Keywords

Social networking (online); Network topology; Resilience; Decision making; Computational modeling; Heuristic algorithms; Upper bound; Attack; consensus; clustering; expressed opinion; opinion dynamics; social network

Funding

  1. UoA Flexible Fund from Northumbria University [201920A1001]

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A continuous-time opinion dynamics with both expressed and private opinions on a given topic is introduced. An opinion consensus strategy is proposed to achieve resilience consensus against Byzantine attacks in dynamical networks. Necessary and sufficient criteria are established for guaranteeing consensus among normal nodes when the attacks are bounded in each neighborhood of normal nodes. A modification that allows opinion clustering, featuring nonglobal consensus, is presented. Numerical examples are worked out to illustrate the effectiveness of our theoretical results.

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