On the Delay Margin for Consensus in Directed Networks of Anticipatory Agents

Date
2016
Authors
Irofti D.
Atay, F. M.
Advisor
Instructor
Source Title
IFAC-PapersOnLine
Print ISSN
24058963
Electronic ISSN
Publisher
Elsevier B.V.
Volume
49
Issue
10
Pages
206 - 211
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Abstract

We consider a linear consensus problem involving a time delay that arises from predicting the future states of agents based on their past history. In case the agents are coupled in a connected and undirected network, the exact condition for consensus is that the delay be less than a constant threshold that is independent of the network topology or size. In directed networks, however, the situation is quite different. We show that the allowable maximum delay for consensus depends on the network topology in a nontrivial way. We study this delay margin in several network constellations, including various circulant networks with directed links. We show that the delay margin depends not only on the number of neighbors, but also on the directionality of connections with those neighbors. Furthermore, the delay margin improves as the circulant networks are rewired en route to a small-world configuration. © 2016

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Book Title
Keywords
anticipation, Consensus, delay, graph theory, network, prediction, stability analysis, Forecasting, Graph theory, Networks (circuits), Time delay, anticipation, Anticipatory agents, Consensus, Consensus problems, Constant threshold, delay, Stability analysis, Undirected network, Topology
Citation
Published Version (Please cite this version)