Physics-informed structured learning of a class of recurrent neural networks with guaranteed properties

Fuente: arXiv
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Autores principales: Ravasio, Daniele, Sbardi, Claudia, Farina, Marcello, Ballarino, Andrea
Formato: Preprint
Publicado: 2026
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author Ravasio, Daniele
Sbardi, Claudia
Farina, Marcello
Ballarino, Andrea
author_facet Ravasio, Daniele
Sbardi, Claudia
Farina, Marcello
Ballarino, Andrea
contents This paper proposes a physics-informed learning framework for a class of recurrent neural networks tailored to large-scale and networked systems. The approach aims to learn control-oriented models that preserve the structural and stability properties of the plant. The learning algorithm is formulated as a convex optimisation problem, allowing the inclusion of linear matrix inequality constraints to enforce desired system features. Furthermore, when the plant exhibits structural modularity, the resulting optimisation problem can be parallelised, requiring communication only among neighbouring subsystems. Simulation results show the effectiveness of the proposed approach.
format Preprint
id arxiv_https___arxiv_org_abs_2603_25574
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Physics-informed structured learning of a class of recurrent neural networks with guaranteed properties
Ravasio, Daniele
Sbardi, Claudia
Farina, Marcello
Ballarino, Andrea
Systems and Control
This paper proposes a physics-informed learning framework for a class of recurrent neural networks tailored to large-scale and networked systems. The approach aims to learn control-oriented models that preserve the structural and stability properties of the plant. The learning algorithm is formulated as a convex optimisation problem, allowing the inclusion of linear matrix inequality constraints to enforce desired system features. Furthermore, when the plant exhibits structural modularity, the resulting optimisation problem can be parallelised, requiring communication only among neighbouring subsystems. Simulation results show the effectiveness of the proposed approach.
title Physics-informed structured learning of a class of recurrent neural networks with guaranteed properties
topic Systems and Control
url https://arxiv.org/abs/2603.25574