Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Distributed least squares solver for network linear equations
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).
Show others and affiliations
2020 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 113, article id 108798Article in journal (Refereed) Published
Abstract [en]

In this paper, we study the problem of finding the least square solutions of over-determined linear algebraic equations over networks in a distributed manner. Each node has access to one of the linear equations and holds a dynamic state. We first propose a distributed least square solver over connected undirected interaction graphs and establish a necessary and sufficient on the step-size under which the algorithm exponentially converges to the least square solution. Next, we develop a distributed least square solver over strongly connected directed graphs and show that the proposed algorithm exponentially converges to the least square solution provided the step-size is sufficiently small. Moreover, we develop a finite-time least square solver by equipping the proposed algorithms with a finite-time decentralized computation mechanism. The theoretical findings are validated and illustrated by numerical simulation examples.

Place, publisher, year, edition, pages
Elsevier Ltd , 2020. Vol. 113, article id 108798
Keywords [en]
Distributed algorithms, Dynamical systems, Finite-time computation, Least squares, Linear equations, Directed graphs, Linear algebra, Linear networks, Parallel algorithms, Finite time, Interaction graphs, Least Square, Least-square solution, Linear algebraic equation, Step size, Strongly connected
National Category
Polymer Chemistry
Identifiers
URN: urn:nbn:se:kth:diva-272255DOI: 10.1016/j.automatica.2019.108798ISI: 000514216600014Scopus ID: 2-s2.0-85077245887OAI: oai:DiVA.org:kth-272255DiVA, id: diva2:1425621
Note

QC 20200421

Available from: 2020-04-21 Created: 2020-04-21 Last updated: 2020-04-21Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records BETA

Yi, Xinlei

Search in DiVA

By author/editor
Yi, Xinlei
By organisation
Decision and Control Systems (Automatic Control)
In the same journal
Automatica
Polymer Chemistry

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 7 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf