Impulse Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology Using Only Position States

Impulse Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology Using Only Position States

This paper studies the impulse bipartite consensus problem of networked harmonic oscillators based on the relative position measurements. Two impulse bipartite consensus control protocols are presented. By exploiting the property of the Laplacian matrix corresponding to the coopetitive network, some...

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Main Authors: Jun Liu, Hengyu Li, Jun Luo
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Coupled harmonic oscillators
bipartite consensus
coopetitive networks
impulse control
Online Access:https://ieeexplore.ieee.org/document/8635451/
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spelling doaj-e5647050043d4f77bffb2bfb8febc7d72021-03-29T22:33:58ZengIEEEIEEE Access2169-35362019-01-017203162032410.1109/ACCESS.2019.28977228635451Impulse Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology Using Only Position StatesJun Liu0Hengyu Li1https://orcid.org/0000-0002-2243-5908Jun Luo2Department of Mathematics, Jining University, Qufu, ChinaSchool of Mechatronic Engineering and Automation, Shanghai University, Shanghai, ChinaSchool of Mechatronic Engineering and Automation, Shanghai University, Shanghai, ChinaThis paper studies the impulse bipartite consensus problem of networked harmonic oscillators based on the relative position measurements. Two impulse bipartite consensus control protocols are presented. By exploiting the property of the Laplacian matrix corresponding to the coopetitive network, some criteria that ensure bipartite consensus are given. Furthermore, the final convergence states of the coupled harmonic oscillator system are presented. Finally, simulation examples are given to verify the effectiveness of the theoretical results.https://ieeexplore.ieee.org/document/8635451/Coupled harmonic oscillatorsbipartite consensuscoopetitive networksimpulse control
collection DOAJ
language English
format Article
sources DOAJ
author Jun Liu
Hengyu Li
Jun Luo
spellingShingle Jun Liu
Hengyu Li
Jun Luo
Impulse Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology Using Only Position States
IEEE Access
Coupled harmonic oscillators
bipartite consensus
coopetitive networks
impulse control
author_facet Jun Liu
Hengyu Li
Jun Luo
author_sort Jun Liu
title Impulse Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology Using Only Position States
title_short Impulse Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology Using Only Position States
title_full Impulse Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology Using Only Position States
title_fullStr Impulse Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology Using Only Position States
title_full_unstemmed Impulse Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology Using Only Position States
title_sort impulse bipartite consensus control for coupled harmonic oscillators under a coopetitive network topology using only position states
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2019-01-01
description This paper studies the impulse bipartite consensus problem of networked harmonic oscillators based on the relative position measurements. Two impulse bipartite consensus control protocols are presented. By exploiting the property of the Laplacian matrix corresponding to the coopetitive network, some criteria that ensure bipartite consensus are given. Furthermore, the final convergence states of the coupled harmonic oscillator system are presented. Finally, simulation examples are given to verify the effectiveness of the theoretical results.
topic Coupled harmonic oscillators
bipartite consensus
coopetitive networks
impulse control
url https://ieeexplore.ieee.org/document/8635451/
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AT hengyuli impulsebipartiteconsensuscontrolforcoupledharmonicoscillatorsunderacoopetitivenetworktopologyusingonlypositionstates
AT junluo impulsebipartiteconsensuscontrolforcoupledharmonicoscillatorsunderacoopetitivenetworktopologyusingonlypositionstates
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