Leaderless Consensus of Semilinear Hyperbolic Multiagent Systems with Semipositive or Seminegative Definite Convection

Dai, J; Yang, C; Xu, D; Wen, S; Jian, M; Yang, D

Leaderless Consensus of Semilinear Hyperbolic Multiagent Systems with Semipositive or Seminegative Definite Convection

Dai, J Yang, C Xu, D Wen, S

Jian, M Yang, D

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Publisher:: Hindawi
Publication Type:: Journal Article
Citation:: Discrete Dynamics in Nature and Society, 2022, 2022, pp. 1-8
Issue Date:: 2022-01-01

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Field	Value	Language
dc.contributor.author	Dai, J
dc.contributor.author	Yang, C
dc.contributor.author	Xu, D
dc.contributor.author	Wen, S https://orcid.org/0000-0001-8077-7001
dc.contributor.author	Jian, M
dc.contributor.author	Yang, D
dc.contributor.editor	Ali, A
dc.date.accessioned	2023-02-28T04:16:01Z
dc.date.available	2023-02-28T04:16:01Z
dc.date.issued	2022-01-01
dc.identifier.citation	Discrete Dynamics in Nature and Society, 2022, 2022, pp. 1-8
dc.identifier.issn	1026-0226
dc.identifier.issn	1607-887X
dc.identifier.uri	http://hdl.handle.net/10453/166553
dc.description.abstract	This paper deals with a leaderless consensus of semilinear first-order hyperbolic partial differential equation-based multiagent systems (HPDEMASs). A consensus controller under an undirected graph is designed. Dealing with different convection assumptions, two different boundary conditions are presented, one right endpoint and the other left endpoint. Two sufficient conditions for leaderless consensus of HPDEMAS are presented by giving the gain range in the case of the symmetric seminegative definite convection coefficient and the semipositive definite convection coefficient, respectively. Two examples are presented to show the effectiveness of the control methods.
dc.language	en
dc.publisher	Hindawi
dc.relation.ispartof	Discrete Dynamics in Nature and Society
dc.relation.isbasedon	10.1155/2022/1976765
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	0102 Applied Mathematics
dc.subject.classification	Numerical & Computational Mathematics
dc.title	Leaderless Consensus of Semilinear Hyperbolic Multiagent Systems with Semipositive or Seminegative Definite Convection
dc.type	Journal Article
utslib.citation.volume	2022
utslib.for	0102 Applied Mathematics
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - AAII - Australian Artificial Intelligence Institute
utslib.copyright.status	open_access	*
dc.date.updated	2023-02-28T04:16:00Z
pubs.publication-status	Published
pubs.volume	2022

Abstract:

This paper deals with a leaderless consensus of semilinear first-order hyperbolic partial differential equation-based multiagent systems (HPDEMASs). A consensus controller under an undirected graph is designed. Dealing with different convection assumptions, two different boundary conditions are presented, one right endpoint and the other left endpoint. Two sufficient conditions for leaderless consensus of HPDEMAS are presented by giving the gain range in the case of the symmetric seminegative definite convection coefficient and the semipositive definite convection coefficient, respectively. Two examples are presented to show the effectiveness of the control methods.

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http://hdl.handle.net/10453/166553