Leader-Following Edge Consensus of Nonlinear Multi-Agent Systems.

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Bibliographic Details
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]
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Database:	Engineering Source

Description
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]
ISSN:	1816093X