Distributed convex nonsmooth optimization for multi-agent system based on proximal operator

Qing Wang, Xianlin Zeng, Bin Xin*, Jie Chen

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper considers a class of distributed non-differentiable convex optimization problems, in which each local cost function is composed of a twice differentiable convex function and a lower semi-continuous convex function. Motivated by the proximal operator and derivative feedback methods, continuous distributed optimization algorithms for both single-integrator and double-integrator multi-agent systems are developed to achieve distributed optimal consensus. Finally, simulation results are provided to illustrate the effectiveness of the proposed methods.

Original languageEnglish
Title of host publication2019 IEEE 15th International Conference on Control and Automation, ICCA 2019
PublisherIEEE Computer Society
Pages1085-1090
Number of pages6
ISBN (Electronic)9781728111643
DOIs
Publication statusPublished - Jul 2019
Event15th IEEE International Conference on Control and Automation, ICCA 2019 - Edinburgh, United Kingdom
Duration: 16 Jul 201919 Jul 2019

Publication series

NameIEEE International Conference on Control and Automation, ICCA
Volume2019-July
ISSN (Print)1948-3449
ISSN (Electronic)1948-3457

Conference

Conference15th IEEE International Conference on Control and Automation, ICCA 2019
Country/TerritoryUnited Kingdom
CityEdinburgh
Period16/07/1919/07/19

Keywords

  • Distributed optimization
  • Multi-agent systems
  • Non-differentiable convex optimization
  • Proximal operator

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