An algebraic approach to designing consensus algorithm of networked high dimensional agents

Chi Huang, Guisheng Zhai, Gesheng Xu

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

1 Citation (Scopus)


In this paper, we deal with a consensus control problem for a group of high dimensional agents which are networked by digraphs. Assuming that the control input of each agent is constructed based on the weighted difference between its states and those of its neighbor agents, we aim to propose an algorithm on computing the weighting coefficients in the control input. The problem is reduced to designing Hurwitz polynomials with complex coefficients. Focusing on the case of three dimensional systems, we show that by using Hurwitz polynomials with complex coefficients, we obtain a necessary and sufficient condition for the consensus algorithm. The condition is a natural extension to second order consensus, and is reasonable and practical due to its comparatively less computation burden. Two numerical examples show effectiveness of the proposed condition and the consensus algorithm.

Original languageEnglish
Title of host publicationProceedings of the 36th Chinese Control Conference, CCC 2017
EditorsTao Liu, Qianchuan Zhao
PublisherIEEE Computer Society
Number of pages6
ISBN (Electronic)9789881563934
Publication statusPublished - 2017 Sept 7
Event36th Chinese Control Conference, CCC 2017 - Dalian, China
Duration: 2017 Jul 262017 Jul 28

Publication series

NameChinese Control Conference, CCC
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927


Other36th Chinese Control Conference, CCC 2017


  • Hurwitz polynomials with complex coefficients
  • Networked high dimensional agents
  • consensus algorithm
  • graph Laplacian

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Applied Mathematics
  • Modelling and Simulation


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