Analysis of distributed consensus protocols with multi-equilibria under time-delays
Yazarlar (3)
Dr. Öğr. Üyesi Özlem Feyza ERKAN Boğaziçi Üniversitesi, Türkiye
Doç. Dr. Onur Cihan Marmara Üniversitesi, Türkiye
Prof. Dr. Mehmet Akar Boğaziçi Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Journal of the Franklin Institute (Q1)
Dergi ISSN 0016-0032 Dergi Bilgileri (2018)
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 01-2018
Cilt / Sayı / Sayfa 355 / 1 / 332–360 DOI 10.1016/j.jfranklin.2017.10.028
Makale Linki https://linkinghub.elsevier.com/retrieve/pii/S001600321730563X
UAK Araştırma Alanları
Elektrik-Elektronik ve Haberleşme Mühendisliği
Özet
In this paper, we propose a novel method for addressing the multi-equilibria consensus problem for a network of n agents with dynamics evolving in discrete-time. In this method, we introduce, for the first time in the literature, two concepts called primary and secondary layer subgraphs. Then, we present our main results on directed graphs such that multiple consensus equilibria states are achieved, thereby extending the existing single-state consensus convergence results in the literature. Furthermore, we propose an algorithm to determine the number of equilibria for any given directed graph automatically by a computer program. We also analyze the convergence properties of multi-equilibria consensus in directed networks with time-delays under the assumption that all delays are bounded. We show that introducing communication time-delays does not affect the number of equilibria of the given network. Finally, we verify our theoretical results via numerical examples.
Anahtar Kelimeler
Science Direct
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 27
Scopus 29
Analysis of distributed consensus protocols with multi-equilibria under time-delays

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