Interval consensus over random networks. (January 2020)

• Record Type: Journal Article
• Authors: Fu, Weiming; Qin, Jiahu; Wu, Junfeng; Zheng, Wei Xing; Kang, Yu
• Is Part Of: Automatica. Volume 111(2020)
• Publication Date: 2020-01
• Subjects: Interval consensus -- Random networks -- Intersection of the intervals -- Robust consensus; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2019.108603
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper considers the interval consensus problems of discrete-time multi-agent systems over random interaction networks, where each agent can impose a lower and an upper bound, i.e., a local constraint interval, on the achievable consensus value. We show that if the intersection of the intervals is nonempty, it holds as a sure event that the states of all the agents converge to a common value inside that intersection, i.e., the interval consensus can be achieved almost surely. Convergence analysis is performed through developing a robust consensus analysis of random networks in view of a martingale convergence lemma. Numerical examples are also exhibited to verify the validity of the theoretical results.