Show simple item record

dc.contributor.authorIrofti D.en_US
dc.contributor.authorAtay, F. M.en_US
dc.date.accessioned2018-04-12T10:54:45Z
dc.date.available2018-04-12T10:54:45Z
dc.date.issued2016en_US
dc.identifier.issn24058963
dc.identifier.urihttp://hdl.handle.net/11693/36828
dc.description.abstractWe 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. © 2016en_US
dc.language.isoEnglishen_US
dc.source.titleIFAC-PapersOnLineen_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.ifacol.2016.07.530en_US
dc.subjectanticipationen_US
dc.subjectConsensusen_US
dc.subjectdelayen_US
dc.subjectgraph theoryen_US
dc.subjectnetworken_US
dc.subjectpredictionen_US
dc.subjectstability analysisen_US
dc.subjectForecastingen_US
dc.subjectGraph theoryen_US
dc.subjectNetworks (circuits)en_US
dc.subjectTime delayen_US
dc.subjectanticipationen_US
dc.subjectAnticipatory agentsen_US
dc.subjectConsensusen_US
dc.subjectConsensus problemsen_US
dc.subjectConstant thresholden_US
dc.subjectdelayen_US
dc.subjectStability analysisen_US
dc.subjectUndirected networken_US
dc.subjectTopologyen_US
dc.titleOn the Delay Margin for Consensus in Directed Networks of Anticipatory Agentsen_US
dc.typeArticleen_US
dc.departmentDepartment of Mathematicsen_US
dc.citation.spage206en_US
dc.citation.epage211en_US
dc.citation.volumeNumber49en_US
dc.citation.issueNumber10en_US
dc.identifier.doi10.1016/j.ifacol.2016.07.530en_US
dc.publisherElsevier B.V.en_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record