@inproceedings{09ef9d19892c44b29daaa4abb179166d,
title = "Balance conditions in discrete-time consensus algorithms",
abstract = "We study the consensus problem of discrete-time systems under persistent flow and non-reciprocal interactions between agents. An arc describing the interaction strength between two agents is said to be persistent if its weight function has an infinite l1 norm. We discuss two balance conditions on the interactions between agents which generalize the arc-balance and cut-balance conditions in the literature respectively. The proposed conditions require that such a balance should be satisfied over each time window of a fixed length instead of at each time instant. We prove that in both cases global consensus is reached if and only if the persistent graph, which consists of all the persistent arcs, contains a directed spanning tree. The convergence rates are also provided in terms of the number of node interactions that have taken place.",
author = "Weiguo Xia and Guodong Shi and Ziyang Meng and Ming Cao and Johansson, \{Karl Henrik\}",
note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 56th IEEE Annual Conference on Decision and Control, CDC 2017 ; Conference date: 12-12-2017 Through 15-12-2017",
year = "2017",
month = jun,
day = "28",
doi = "10.1109/CDC.2017.8263753",
language = "English",
series = "2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "769--774",
booktitle = "2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017",
address = "United States",
}