Leader-Following Edge Consensus of Nonlinear Multi-Agent Systems.
Saved in:
| Title: | Leader-Following Edge Consensus of Nonlinear Multi-Agent Systems. |
|---|---|
| Authors: | Donganont, Siriluk1 siriluk.pa@up.ac.th, Donganont, Mana2 mana.do@up.ac.th |
| Source: | Engineering Letters. Mar2026, Vol. 34 Issue 3, p810-815. 6p. |
| Subjects: | Multiagent systems, Directed graphs, Exponential stability, Cooperative control systems, Laplacian matrices |
| Abstract: | This work develops a leader-following edge-coordination framework for nonlinear multi-agent systems (MASs) evolving over directed communication networks. The analysis is carried out directly in the edge space, where relative agent interactions are represented through the line-graph construction. A virtual leader edge is introduced to prescribe the desired reference evolution, and a distributed feedback law is formulated so that each edge state adjusts according to neighbor-edge information and, when available, leader-edge influence. The nonlinear edge dynamics are assumed to satisfy a sector-type bound, which allows the use of a Lyapunov argument tailored to the line-graph structure. Within this setting, we establish an explicit exponential convergence condition that links the required coupling gain to the nonlinearity sector parameter, the strength of leader influence, and the connectivity level encoded in the edge Laplacian. This condition offers a transparent guideline for selecting control gains in directed networks. The analysis also clarifies how the synchronization behavior changes depending on whether the leader signal is incorporated. Numerical studies under various gains and switching patterns support the theoretical predictions, demonstrating both successful tracking and loss of synchronization in accordance with the derived criteria. The results provide a systematic and scalable approach for achieving leader-following edge consensus in nonlinear MASs and contribute a topology-aware stability guarantee within the growing body of edge-based coordination methods. [ABSTRACT FROM AUTHOR] |
| Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 192025068 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Leader-Following Edge Consensus of Nonlinear Multi-Agent Systems. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Donganont%2C+Siriluk%22">Donganont, Siriluk</searchLink><relatesTo>1</relatesTo><i> siriluk.pa@up.ac.th</i><br /><searchLink fieldCode="AR" term="%22Donganont%2C+Mana%22">Donganont, Mana</searchLink><relatesTo>2</relatesTo><i> mana.do@up.ac.th</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Engineering+Letters%22">Engineering Letters</searchLink>. Mar2026, Vol. 34 Issue 3, p810-815. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Multiagent+systems%22">Multiagent systems</searchLink><br /><searchLink fieldCode="DE" term="%22Directed+graphs%22">Directed graphs</searchLink><br /><searchLink fieldCode="DE" term="%22Exponential+stability%22">Exponential stability</searchLink><br /><searchLink fieldCode="DE" term="%22Cooperative+control+systems%22">Cooperative control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Laplacian+matrices%22">Laplacian matrices</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This work develops a leader-following edge-coordination framework for nonlinear multi-agent systems (MASs) evolving over directed communication networks. The analysis is carried out directly in the edge space, where relative agent interactions are represented through the line-graph construction. A virtual leader edge is introduced to prescribe the desired reference evolution, and a distributed feedback law is formulated so that each edge state adjusts according to neighbor-edge information and, when available, leader-edge influence. The nonlinear edge dynamics are assumed to satisfy a sector-type bound, which allows the use of a Lyapunov argument tailored to the line-graph structure. Within this setting, we establish an explicit exponential convergence condition that links the required coupling gain to the nonlinearity sector parameter, the strength of leader influence, and the connectivity level encoded in the edge Laplacian. This condition offers a transparent guideline for selecting control gains in directed networks. The analysis also clarifies how the synchronization behavior changes depending on whether the leader signal is incorporated. Numerical studies under various gains and switching patterns support the theoretical predictions, demonstrating both successful tracking and loss of synchronization in accordance with the derived criteria. The results provide a systematic and scalable approach for achieving leader-following edge consensus in nonlinear MASs and contribute a topology-aware stability guarantee within the growing body of edge-based coordination methods. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=192025068 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 810 Subjects: – SubjectFull: Multiagent systems Type: general – SubjectFull: Directed graphs Type: general – SubjectFull: Exponential stability Type: general – SubjectFull: Cooperative control systems Type: general – SubjectFull: Laplacian matrices Type: general Titles: – TitleFull: Leader-Following Edge Consensus of Nonlinear Multi-Agent Systems. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Donganont, Siriluk – PersonEntity: Name: NameFull: Donganont, Mana IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 1816093X Numbering: – Type: volume Value: 34 – Type: issue Value: 3 Titles: – TitleFull: Engineering Letters Type: main |
| ResultId | 1 |
