Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive Topology

This paper studies the group consensus of discrete-time mixed-order multi-agent systems with fixed and directed interactive topology. First, group consensus protocols are designed for all agents to investigate the group consensus of mixed-order multi-agent systems without time delays. Under some ass...

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Main Authors: Min Liu, Yuanzhen Feng
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8930482/
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author Min Liu
Yuanzhen Feng
author_facet Min Liu
Yuanzhen Feng
author_sort Min Liu
collection DOAJ
description This paper studies the group consensus of discrete-time mixed-order multi-agent systems with fixed and directed interactive topology. First, group consensus protocols are designed for all agents to investigate the group consensus of mixed-order multi-agent systems without time delays. Under some assumptions on the interactive topology, sufficient conditions for group consensus are obtained based on matrix theory and graph theory, which are dependent on the sampling period and the control gains. Then, group consensus protocols are proposed for a case where communication delays exist. Sufficient conditions are also established for group consensus using Nyquist stability criterion. Finally, several simulation examples are given to verify the validity of the theoretical results.
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spelling doaj.art-5151d980fd534aa6b3d1c0bda4f48c002022-12-21T17:25:45ZengIEEEIEEE Access2169-35362019-01-01717971217971910.1109/ACCESS.2019.29587948930482Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive TopologyMin Liu0https://orcid.org/0000-0003-0166-6368Yuanzhen Feng1https://orcid.org/0000-0003-3610-0727School of Science, Nanjing University of Posts and Telecommunications, Nanjing, ChinaSchool of Science, Nanjing University of Posts and Telecommunications, Nanjing, ChinaThis paper studies the group consensus of discrete-time mixed-order multi-agent systems with fixed and directed interactive topology. First, group consensus protocols are designed for all agents to investigate the group consensus of mixed-order multi-agent systems without time delays. Under some assumptions on the interactive topology, sufficient conditions for group consensus are obtained based on matrix theory and graph theory, which are dependent on the sampling period and the control gains. Then, group consensus protocols are proposed for a case where communication delays exist. Sufficient conditions are also established for group consensus using Nyquist stability criterion. Finally, several simulation examples are given to verify the validity of the theoretical results.https://ieeexplore.ieee.org/document/8930482/Communication delaydiscrete-timegroup consensusmixed-order multi-agent systems
spellingShingle Min Liu
Yuanzhen Feng
Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive Topology
IEEE Access
Communication delay
discrete-time
group consensus
mixed-order multi-agent systems
title Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive Topology
title_full Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive Topology
title_fullStr Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive Topology
title_full_unstemmed Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive Topology
title_short Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive Topology
title_sort group consensus of mixed order multi agent systems with fixed and directed interactive topology
topic Communication delay
discrete-time
group consensus
mixed-order multi-agent systems
url https://ieeexplore.ieee.org/document/8930482/
work_keys_str_mv AT minliu groupconsensusofmixedordermultiagentsystemswithfixedanddirectedinteractivetopology
AT yuanzhenfeng groupconsensusofmixedordermultiagentsystemswithfixedanddirectedinteractivetopology