File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1109/TNNLS.2022.3152939
- PMID: 35294356
- WOS: WOS:000770569400001
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Positive Consensus of Fractional-Order Multi-Agent Systems over Directed Graphs
Title | Positive Consensus of Fractional-Order Multi-Agent Systems over Directed Graphs |
---|---|
Authors | |
Keywords | Directed graphs Multi-agent systems Topology Eigenvalues and eigenfunctions Linear systems |
Issue Date | 2022 |
Publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=72 |
Citation | IEEE Transactions on Neural Networks and Learning Systems, 2022, p. 1-7 How to Cite? |
Abstract | This article investigates the positive consensus problem of a special kind of interconnected positive systems over directed graphs. They are composed of multiple fractional-order continuous-time positive linear systems. Unlike most existing works in the literature, we study this problem for the first time, in which the communication topology of agents is described by a directed graph containing a spanning tree. This is a more general and new scenario due to the interplay between the eigenvalues of the Laplacian matrix and the controller gains, which renders the positivity analysis fairly challenging. Based on the existing results in spectral graph theory, fractional-order systems (FOSs) theory, and positive systems theory, we derive several necessary and/or sufficient conditions on the positive consensus of fractional-order multiagent systems (PCFMAS). It is shown that the protocol, which is designed for a specific graph, can solve the positive consensus problem of agents over an additional set of directed graphs. Finally, a comprehensive comparison study of different approaches is carried out, which shows that the proposed approaches have advantages over the existing ones. |
Persistent Identifier | http://hdl.handle.net/10722/312311 |
ISSN | 2023 Impact Factor: 10.2 2023 SCImago Journal Rankings: 4.170 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Liu, JJ | - |
dc.contributor.author | Lam, J | - |
dc.contributor.author | Kwok, KW | - |
dc.date.accessioned | 2022-04-25T01:38:01Z | - |
dc.date.available | 2022-04-25T01:38:01Z | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | IEEE Transactions on Neural Networks and Learning Systems, 2022, p. 1-7 | - |
dc.identifier.issn | 2162-237X | - |
dc.identifier.uri | http://hdl.handle.net/10722/312311 | - |
dc.description.abstract | This article investigates the positive consensus problem of a special kind of interconnected positive systems over directed graphs. They are composed of multiple fractional-order continuous-time positive linear systems. Unlike most existing works in the literature, we study this problem for the first time, in which the communication topology of agents is described by a directed graph containing a spanning tree. This is a more general and new scenario due to the interplay between the eigenvalues of the Laplacian matrix and the controller gains, which renders the positivity analysis fairly challenging. Based on the existing results in spectral graph theory, fractional-order systems (FOSs) theory, and positive systems theory, we derive several necessary and/or sufficient conditions on the positive consensus of fractional-order multiagent systems (PCFMAS). It is shown that the protocol, which is designed for a specific graph, can solve the positive consensus problem of agents over an additional set of directed graphs. Finally, a comprehensive comparison study of different approaches is carried out, which shows that the proposed approaches have advantages over the existing ones. | - |
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=72 | - |
dc.relation.ispartof | IEEE Transactions on Neural Networks and Learning Systems | - |
dc.rights | IEEE Transactions on Neural Networks and Learning Systems. 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 | Directed graphs | - |
dc.subject | Multi-agent systems | - |
dc.subject | Topology | - |
dc.subject | Eigenvalues and eigenfunctions | - |
dc.subject | Linear systems | - |
dc.title | Positive Consensus of Fractional-Order Multi-Agent Systems over Directed Graphs | - |
dc.type | Article | - |
dc.identifier.email | Liu, JJ: liujinr@hku.hk | - |
dc.identifier.email | Lam, J: jlam@hku.hk | - |
dc.identifier.email | Kwok, KW: kwokkw@hku.hk | - |
dc.identifier.authority | Lam, J=rp00133 | - |
dc.identifier.authority | Kwok, KW=rp01924 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/TNNLS.2022.3152939 | - |
dc.identifier.pmid | 35294356 | - |
dc.identifier.hkuros | 332611 | - |
dc.identifier.spage | 1 | - |
dc.identifier.epage | 7 | - |
dc.identifier.isi | WOS:000770569400001 | - |
dc.publisher.place | United States | - |