Nonnegative Edge Quasi-Consensus of Networked Dynamical Systems

Xiaoling Wang; Housheng Su; Xiaofan Wang; Guanrong Chen

doi:10.1109/TCSII.2016.2559529

Nonnegative Edge Quasi-Consensus of Networked Dynamical Systems

Xiaoling Wang, Housheng Su, Xiaofan Wang, Guanrong Chen

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

51 Citations (Scopus)

Abstract

Differing from the existing literature on node consensus, this brief studies consensus taking place on the edges of networked dynamical systems. A distributed edge quasi-consensus protocol is developed to lead the states of all edges to converge into a bounded region. For a connected network with nonnegative initial edge states, it is proved that the edge quasi-consensus can be reached while the states of all edges can be kept nonnegative. Moreover, the nonnegative edge quasi-consensus of networked systems with edge state constraints or input saturation is analyzed, respectively. Numerical simulations are provided to verify the effectiveness of the protocols.

Original language	English
Pages (from-to)	304-308
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	64
Issue number	3
Online published	27 Apr 2016
DOIs	https://doi.org/10.1109/TCSII.2016.2559529
Publication status	Published - Mar 2017

Research Keywords

Edge dynamics
line graph
networked systems
nonnegative quasi-consensus

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10.1109/TCSII.2016.2559529

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title = "Nonnegative Edge Quasi-Consensus of Networked Dynamical Systems",

abstract = "Differing from the existing literature on node consensus, this brief studies consensus taking place on the edges of networked dynamical systems. A distributed edge quasi-consensus protocol is developed to lead the states of all edges to converge into a bounded region. For a connected network with nonnegative initial edge states, it is proved that the edge quasi-consensus can be reached while the states of all edges can be kept nonnegative. Moreover, the nonnegative edge quasi-consensus of networked systems with edge state constraints or input saturation is analyzed, respectively. Numerical simulations are provided to verify the effectiveness of the protocols.",

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author = "Xiaoling Wang and Housheng Su and Xiaofan Wang and Guanrong Chen",

year = "2017",

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T1 - Nonnegative Edge Quasi-Consensus of Networked Dynamical Systems

AU - Wang, Xiaoling

AU - Su, Housheng

AU - Wang, Xiaofan

AU - Chen, Guanrong

PY - 2017/3

Y1 - 2017/3

N2 - Differing from the existing literature on node consensus, this brief studies consensus taking place on the edges of networked dynamical systems. A distributed edge quasi-consensus protocol is developed to lead the states of all edges to converge into a bounded region. For a connected network with nonnegative initial edge states, it is proved that the edge quasi-consensus can be reached while the states of all edges can be kept nonnegative. Moreover, the nonnegative edge quasi-consensus of networked systems with edge state constraints or input saturation is analyzed, respectively. Numerical simulations are provided to verify the effectiveness of the protocols.

AB - Differing from the existing literature on node consensus, this brief studies consensus taking place on the edges of networked dynamical systems. A distributed edge quasi-consensus protocol is developed to lead the states of all edges to converge into a bounded region. For a connected network with nonnegative initial edge states, it is proved that the edge quasi-consensus can be reached while the states of all edges can be kept nonnegative. Moreover, the nonnegative edge quasi-consensus of networked systems with edge state constraints or input saturation is analyzed, respectively. Numerical simulations are provided to verify the effectiveness of the protocols.

KW - Edge dynamics

KW - line graph

KW - networked systems

KW - nonnegative quasi-consensus

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85014621161&origin=recordpage

U2 - 10.1109/TCSII.2016.2559529

DO - 10.1109/TCSII.2016.2559529

M3 - RGC 21 - Publication in refereed journal

SN - 1549-7747

VL - 64

SP - 304

EP - 308

JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

IS - 3

ER -

Nonnegative Edge Quasi-Consensus of Networked Dynamical Systems

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Research Keywords

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GRF: Pinning Controllability and Observability for Directed Networks of Non-identical Linear Node Systems with Multi-channel Connections

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Nonnegative Edge Quasi-Consensus of Networked Dynamical Systems

Abstract

Research Keywords

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GRF: Pinning Controllability and Observability for Directed Networks of Non-identical Linear Node Systems with Multi-channel Connections

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