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Article: Positive Consensus of Directed Multi-Agent Systems
Title | Positive Consensus of Directed Multi-Agent Systems |
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Authors | |
Keywords | Cooperative control directed graphs multiagent systems positive consensus positive linear systems |
Issue Date | 2021 |
Publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9 |
Citation | IEEE Transactions on Automatic Control, 2021, Epub 2021-08-30 How to Cite? |
Abstract | This paper investigates the positive consensus problem of multi-agent systems with directed communication topologies where all the agents have identical continuous-time positive linear dynamics. Existing works of such problem mainly focus on the case where the networked communication topologies are of either undirected and incomplete graphs, or strongly connected directed graphs. In stark contrast to them, we study the problem in which the communication topologies of the networked system are described by directed graphs each containing a spanning tree which is a more general and new scenario due to the interplay between the eigenvalues of the Laplacian matrix and the controller gains. Based on the existing results in spectral graph theory and positive linear systems theory, several necessary and sufficient conditions on the positive consensus of the directed multi-agent system are derived through using linear matrix inequality techniques. Then a primal-dual iterative algorithm is developed for computation and finally several numerical simulations are provided to illustrate the effectiveness of the proposed theoretical results. |
Persistent Identifier | http://hdl.handle.net/10722/304486 |
ISSN | 2023 Impact Factor: 6.2 2023 SCImago Journal Rankings: 4.501 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Liu, JJR | - |
dc.contributor.author | YANG, N | - |
dc.contributor.author | Kwok, KW | - |
dc.contributor.author | Lam, J | - |
dc.date.accessioned | 2021-09-23T09:00:42Z | - |
dc.date.available | 2021-09-23T09:00:42Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | IEEE Transactions on Automatic Control, 2021, Epub 2021-08-30 | - |
dc.identifier.issn | 0018-9286 | - |
dc.identifier.uri | http://hdl.handle.net/10722/304486 | - |
dc.description.abstract | This paper investigates the positive consensus problem of multi-agent systems with directed communication topologies where all the agents have identical continuous-time positive linear dynamics. Existing works of such problem mainly focus on the case where the networked communication topologies are of either undirected and incomplete graphs, or strongly connected directed graphs. In stark contrast to them, we study the problem in which the communication topologies of the networked system are described by directed graphs each containing a spanning tree which is a more general and new scenario due to the interplay between the eigenvalues of the Laplacian matrix and the controller gains. Based on the existing results in spectral graph theory and positive linear systems theory, several necessary and sufficient conditions on the positive consensus of the directed multi-agent system are derived through using linear matrix inequality techniques. Then a primal-dual iterative algorithm is developed for computation and finally several numerical simulations are provided to illustrate the effectiveness of the proposed theoretical results. | - |
dc.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9 | - |
dc.relation.ispartof | IEEE Transactions on Automatic Control | - |
dc.rights | IEEE Transactions on Automatic Control. Copyright © Institute of Electrical and Electronics Engineers. | - |
dc.rights | ©20xx IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | - |
dc.subject | Cooperative control | - |
dc.subject | directed graphs | - |
dc.subject | multiagent systems | - |
dc.subject | positive consensus | - |
dc.subject | positive linear systems | - |
dc.title | Positive Consensus of Directed Multi-Agent Systems | - |
dc.type | Article | - |
dc.identifier.email | Liu, JJR: liujinr@hku.hk | - |
dc.identifier.email | Kwok, KW: kwokkw@hku.hk | - |
dc.identifier.email | Lam, J: jlam@hku.hk | - |
dc.identifier.authority | Kwok, KW=rp01924 | - |
dc.identifier.authority | Lam, J=rp00133 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/TAC.2021.3108517 | - |
dc.identifier.hkuros | 324937 | - |
dc.identifier.volume | Epub 2021-08-30 | - |
dc.identifier.isi | WOS:000818858700040 | - |
dc.publisher.place | United States | - |