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Distributed algorithm for achieving finite-time minimum l1 norm solutions of linear equation

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dc.contributor.authorZhou, Jingqiu
dc.contributor.authorXuan, Wang
dc.contributor.authorMou, Shaoshuai
dc.contributor.authorAnderson, Brian
dc.coverage.spatialMilwaukee, USA
dc.date.accessioned2020-05-04T01:22:27Z
dc.date.createdJune 27-29, 2018
dc.date.issued2018
dc.date.updated2019-11-25T08:01:29Z
dc.description.abstractAbstract— This paper proposes a distributed algorithm for multi-agent networks to achieve a minimum l1-norm solution to a linear equation Ax = b where A has full row rank. When the underlying network is undirected and fixed, it is proved that the proposed algorithm drive all agents’ individual states to converge in finite-time to the same minimum l1-norm solution. Numerical simulations are also provided as validation of the proposed algorithms.
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.isbn978-1-5386-5427-9en_AU
dc.identifier.urihttp://hdl.handle.net/1885/203579
dc.language.isoen_AUen_AU
dc.publisherIEEEen_AU
dc.relation.ispartofseries2018 American Control Conference (ACC)
dc.rights©2018 AACCen_AU
dc.sourceProceedings of 2018 American Control Conference (ACC)en_AU
dc.titleDistributed algorithm for achieving finite-time minimum l1 norm solutions of linear equationen_AU
dc.typeConference paperen_AU
local.bibliographicCitation.lastpage5862en_AU
local.bibliographicCitation.startpage5857en_AU
local.contributor.affiliationZhou, Jingqiu, Purdue Universityen_AU
local.contributor.affiliationXuan, Wang, Purdue Universityen_AU
local.contributor.affiliationMou, Shaoshuai, Purdue Universityen_AU
local.contributor.affiliationAnderson, Brian, College of Engineering and Computer Science, ANUen_AU
local.contributor.authoruidAnderson, Brian, u8104642en_AU
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor090602 - Control Systems, Robotics and Automationen_AU
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciencesen_AU
local.identifier.ariespublicationu5786633xPUB261en_AU
local.publisher.urlhttps://www.ieee.org/en_AU
local.type.statusPublished Versionen_AU

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