Persistent synchronization of heterogeneous networks with time-dependent linear diffusive coupling
type: Item
instance of: scholarly article
title: Persistent synchronization of heterogeneous networks with time-dependent linear diffusive coupling
author: Hildeberto Jardón-Kojakhmetov
author: Christian Kuehn
author: Iacopo P. Longo
published in: SIAM Journal on Applied Dynamical Systems
publication date: 2024-08-24T00:00:00Z
review text: This paper deals with linearly coupled temporal networks of heterogeneous time-dependent agents with internal dynamics. Temporal networks, also called temporal graphs or time-varying networks, are characterized by variations in the graph structure. The coefficients of the adjacency matrix are assumed to be locally integrable in time while the internal dynamics are Lipschitz Carathéodory functions. The authors provide sufficient conditions to ensure the synchronization of the entire network or a portion of it, namely a cluster. The results are obtained by constructing a suitable linear nonautonomous problem bounding the evolution of synchronization errors. The persistence of the synchronization result against perturbations is also discussed. Several examples illustrate the applicability of the obtained results.
reviewed by: Cristina Pignotti
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 92B20
Mathematics Subject Classification ID: 37C60
zbMATH DE Number: 7900944
zbMATH Keywords: temporal networks
zbMATH Keywords: synchronization
zbMATH Keywords: Carathéodory ordinary differential equations
MaRDI profile type: Publication
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DOI: 10.1137/23M1602024
description: scientific article; zbMATH DE number 7900944