An input-output framework for stability and synchronization analysis of networks of infinite-dimensional linear systems

This paper presents a synchronization criterion for networks of infinite-dimensional linear systems, extending a previous result for finite-dimensional systems. Our result, established in the general framework of input-output relations, requires an additional input-output stability property, compare...

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Bibliographic Details
Published in:arXiv.org 2024-04
Main Authors: Tian Xia, Scardovi, Luca
Format: Article
Language:English
Subjects:
Linear systems
Network analysis
Parabolic differential equations
Partial differential equations
Stability analysis
Synchronism
Online Access:Get full text
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Summary:This paper presents a synchronization criterion for networks of infinite-dimensional linear systems, extending a previous result for finite-dimensional systems. Our result, established in the general framework of input-output relations, requires an additional input-output stability property, compared to the finite-dimensional counterpart. We show that this this property holds for a large class of infinite-dimensional systems including abstract Cauchy problems, parabolic partial differential equations, and time-delay differential equations.
ISSN:2331-8422