Distributed Algorithm for Achieving Minimum l<sub>1</sub> Norm Solutions of Linear Equation
| dc.contributor.author | Zhou, Jingqiu | en |
| dc.contributor.author | Xuan, Wang | en |
| dc.contributor.author | Mou, Shaoshuai | en |
| dc.contributor.author | Anderson, Brian D.O. | en |
| dc.date.accessioned | 2026-01-01T14:42:20Z | |
| dc.date.available | 2026-01-01T14:42:20Z | |
| dc.date.issued | 2018-08-09 | en |
| dc.description.abstract | 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 l 1-norm solution. Numerical simulations are also provided as validation of the proposed algorithms. | en |
| dc.description.sponsorship | This work was supported by a funding from Northrop Grumman Cooperation. J. Zhou, X. Wang and S. Mou are with the School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47906 USA (e-mail: zhou745@purdue.edu, wang3156@purdue.edu, mous@purdue.edu). B. D. O. Anderson is with Hangzhou Dianzi University, Hangzhou, China, The Australian National University and Data-61 CSIRO (formerly NICTA), Canberra, ACT 2600 Australia, e-mail: Brian.Anderson@anu.edu.au; his work is supported by Data-61, CSIRO, and by the Australian Research Council’s Discovery Projects DP-130103610 and DP-160104500. Corresponding Author: Shaoshuai Mou. | en |
| dc.description.status | Peer-reviewed | en |
| dc.format.extent | 6 | en |
| dc.identifier.isbn | 9781538654286 | en |
| dc.identifier.issn | 0743-1619 | en |
| dc.identifier.other | ORCID:/0000-0002-1493-4774/work/174739501 | en |
| dc.identifier.scopus | 85052600280 | en |
| dc.identifier.uri | https://hdl.handle.net/1885/733801166 | |
| dc.language.iso | en | en |
| dc.publisher | Institute of Electrical and Electronics Engineers Inc. | en |
| dc.relation.ispartof | 2018 Annual American Control Conference, ACC 2018 | en |
| dc.relation.ispartofseries | 2018 Annual American Control Conference, ACC 2018 | en |
| dc.relation.ispartofseries | Proceedings of the American Control Conference | en |
| dc.rights | Publisher Copyright: © 2018 AACC. | en |
| dc.title | Distributed Algorithm for Achieving Minimum l<sub>1</sub> Norm Solutions of Linear Equation | en |
| dc.type | Conference paper | en |
| dspace.entity.type | Publication | en |
| local.bibliographicCitation.lastpage | 5862 | en |
| local.bibliographicCitation.startpage | 5857 | en |
| local.contributor.affiliation | Zhou, Jingqiu; Purdue University | en |
| local.contributor.affiliation | Xuan, Wang; Purdue University | en |
| local.contributor.affiliation | Mou, Shaoshuai; Purdue University | en |
| local.contributor.affiliation | Anderson, Brian D.O.; Hangzhou Dianzi University | en |
| local.identifier.doi | 10.23919/ACC.2018.8431766 | en |
| local.identifier.pure | 07a41245-e801-4267-a305-0bdd9f32b09d | en |
| local.identifier.url | https://www.scopus.com/pages/publications/85052600280 | en |
| local.type.status | Published | en |