Edges’ Riemannian energy analysis for synchronization of multi-agent nonlinear systems over undirected weighted graphs

被引：0
|
作者：
机构：
[1] Cellier-Devaux, Alexandre
[2] Astolfi, Daniele
[3] Andrieu, Vincent
来源：
Astolfi, Daniele (daniele.astolfi@univ-lyon1.fr) | 2025年 / 171卷
关键词：
Laplace transforms - Network theory (graphs) - Nonlinear systems - State feedback - Synchronization;
D O I：
10.1016/j.automatica.2024.111950
中图分类号：
学科分类号：
摘要：
In this note we investigate the problem of global exponential synchronization of multi-agent systems described by non-linear input affine dynamics. We consider the case of networks described by undirected connected graphs possibly without leader. We present a set of sufficient conditions based on a Riemannian metric approach in order to design a state-feedback distributed control law. Then, we study the convergence properties of the overall network. By exploiting the properties of the edge Laplacian we construct a Lyapunov function that allows to conclude global exponential synchronization of the overall network. © 2024
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