Modulus consensus over time-varying digraphs

Ji Liu, Dan Wang, Wei Chen, Tamer Basar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper considers a discrete-time modulus consensus model in which the interaction among a group of agents is described by a time-dependent, complex-valued, weighted digraph. It is shown that for any sequence of repeatedly jointly strongly connected digraphs, without any assumption on the structure of the complex-valued weights, the system asymptotically reaches modulus consensus. Sufficient conditions for exponential convergence to each possible type of limit states are provided. Specifically, it is shown that (1) if the sequence of complex-valued weighted digraphs is repeatedly jointly balanced with respect to the same type, the corresponding type of modulus consensus will be reached exponentially fast for almost all initial conditions; (2) if the sequence of complex-valued weighted digraphs is repeatedly jointly unbalanced, the system will converge to zero exponentially fast for all initial conditions.

Original languageEnglish (US)
Title of host publication2017 American Control Conference, ACC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages948-953
Number of pages6
ISBN (Electronic)9781509059928
DOIs
StatePublished - Jun 29 2017
Event2017 American Control Conference, ACC 2017 - Seattle, United States
Duration: May 24 2017May 26 2017

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2017 American Control Conference, ACC 2017
CountryUnited States
CitySeattle
Period5/24/175/26/17

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Liu, J., Wang, D., Chen, W., & Basar, T. (2017). Modulus consensus over time-varying digraphs. In 2017 American Control Conference, ACC 2017 (pp. 948-953). [7963075] (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC.2017.7963075