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- Publisher Website: 10.1109/TNSE.2023.3301015
- Scopus: eid_2-s2.0-85166758040
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Article: Necessary and Sufficient Conditions on Consensus of General Fractional-Order Multi-agent Systems over Directed Networks
Title | Necessary and Sufficient Conditions on Consensus of General Fractional-Order Multi-agent Systems over Directed Networks |
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Authors | |
Keywords | consensus problem Cooperative control Directed graphs directed graphs Laplace equations Multi-agent systems Network topology networked fractional-order systems Sufficient conditions Topology Vehicle dynamics |
Issue Date | 1-Jan-2023 |
Publisher | Institute of Electrical and Electronics Engineers |
Citation | IEEE Transactions on Network Science and Engineering, 2023 How to Cite? |
Abstract | This paper tackles the consensus problem for a group of multi-agent systems communicating over a directed network. Our networked system consists of general fractional-order dynamic systems with order α∈[1,2) in continuous time. This presents a more challenging issue than the previous research on simple single/double fractional-order integrators. Specifically, we investigate the consensus issue for agents described by fractional-order systems with general linear dynamics, which presents a challenge due to the limited applicability of existing tools for integer-order models. To address this, we utilize spectral graph theory and fractional-order systems theory to derive several equivalent conditions without conservatism for such systems where agents communicate through directed graphs. We develop a tractable convex programming algorithm for controller design based on the obtained results. We then demonstrate the effectiveness of our proposed approach through simulations on higher-order dynamic systems and fractional-order circuits. |
Persistent Identifier | http://hdl.handle.net/10722/331284 |
ISSN | 2023 Impact Factor: 6.7 2023 SCImago Journal Rankings: 2.167 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Liu Jason JR | - |
dc.contributor.author | Lam, James | - |
dc.contributor.author | Kwok, Ka-Wai | - |
dc.date.accessioned | 2023-09-21T06:54:20Z | - |
dc.date.available | 2023-09-21T06:54:20Z | - |
dc.date.issued | 2023-01-01 | - |
dc.identifier.citation | IEEE Transactions on Network Science and Engineering, 2023 | - |
dc.identifier.issn | 2327-4697 | - |
dc.identifier.uri | http://hdl.handle.net/10722/331284 | - |
dc.description.abstract | <p>This paper tackles the consensus problem for a group of multi-agent systems communicating over a directed network. Our networked system consists of general fractional-order dynamic systems with order α∈[1,2) in continuous time. This presents a more challenging issue than the previous research on simple single/double fractional-order integrators. Specifically, we investigate the consensus issue for agents described by fractional-order systems with general linear dynamics, which presents a challenge due to the limited applicability of existing tools for integer-order models. To address this, we utilize spectral graph theory and fractional-order systems theory to derive several equivalent conditions without conservatism for such systems where agents communicate through directed graphs. We develop a tractable convex programming algorithm for controller design based on the obtained results. We then demonstrate the effectiveness of our proposed approach through simulations on higher-order dynamic systems and fractional-order circuits.<br></p> | - |
dc.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers | - |
dc.relation.ispartof | IEEE Transactions on Network Science and Engineering | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | consensus problem | - |
dc.subject | Cooperative control | - |
dc.subject | Directed graphs | - |
dc.subject | directed graphs | - |
dc.subject | Laplace equations | - |
dc.subject | Multi-agent systems | - |
dc.subject | Network topology | - |
dc.subject | networked fractional-order systems | - |
dc.subject | Sufficient conditions | - |
dc.subject | Topology | - |
dc.subject | Vehicle dynamics | - |
dc.title | Necessary and Sufficient Conditions on Consensus of General Fractional-Order Multi-agent Systems over Directed Networks | - |
dc.type | Article | - |
dc.identifier.doi | 10.1109/TNSE.2023.3301015 | - |
dc.identifier.scopus | eid_2-s2.0-85166758040 | - |
dc.identifier.eissn | 2327-4697 | - |
dc.identifier.isi | WOS:001139144400091 | - |
dc.identifier.issnl | 2327-4697 | - |