Reaching Non-Negative Edge Consensus of Networked Dynamical Systems

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

40 Scopus Citations
View graph of relations

Author(s)

  • Xiao Ling Wang
  • Housheng Su
  • Michael Z. Q. Chen
  • Xiao Fan Wang
  • Guanrong Chen

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)2712-2722
Journal / PublicationIEEE Transactions on Cybernetics
Volume48
Issue number9
Online published18 Sept 2017
Publication statusPublished - Sept 2018

Abstract

In this paper, the problem of non-negative edge consensus of undirected networked linear time-invariant systems is addressed by associating each edge of the network with a state variable, for which a distributed algorithm is constructed. Sufficient conditions referring only to the number of edges are derived for non-negative edge consensus of the networked systems. Subsequently, the linear programming method and a low-gain feedback technique are introduced to simplify the design of the feedback gain matrix for achieving the non-negative edge consensus. It is found that the low-gain feedback technique has a good effect on the non-negative edge consensus of the networked systems subject to input saturation. Numerical simulations are presented to verify the effectiveness of the theoretical results.

Research Area(s)

  • Automation, Distributed algorithm, Eigenvalues and eigenfunctions, Internet, Laplace equations, line graph, low-gain feedback, networked system, non-negative edge consensus, Roads, Vehicle dynamics

Citation Format(s)

Reaching Non-Negative Edge Consensus of Networked Dynamical Systems. / Wang, Xiao Ling; Su, Housheng; Chen, Michael Z. Q. et al.
In: IEEE Transactions on Cybernetics, Vol. 48, No. 9, 09.2018, p. 2712-2722.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review