Leader-Follower Synchronization of a Network of Boundary-Controlled Parabolic Equations with In-Domain Coupling
| Autor: | Abbas Kabalan, Francesco Ferrante, Giacomo Casadei, Andrea Cristofaro, Christophe Prieur |
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| Přispěvatelé: | Université Paris sciences et lettres (PSL), GIPSA - Infinite Dimensional Dynamics (GIPSA-INFINITY), GIPSA Pôle Automatique et Diagnostic (GIPSA-PAD), Grenoble Images Parole Signal Automatique (GIPSA-lab), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Grenoble Images Parole Signal Automatique (GIPSA-lab), Université Grenoble Alpes (UGA), University of Perugia, École Centrale de Lyon (ECL), Université de Lyon, Ampère (AMPERE), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), Dipartimento di Ingegneria informatica automatica e gestionale (DIAG), Università degli Studi di Roma 'La Sapienza' = Sapienza University [Rome], ANR-19-P3IA-0003,MIAI,MIAI @ Grenoble Alpes(2019), Ampère, Département Automatique pour l'Ingénierie des Systèmes (AIS), Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-École Centrale de Lyon (ECL), Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE) |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Mathematical models
Control and Optimization control of networks Distributed parameter systems network analysis and control Linear matrix inequalities Synchronization 16. Peace & justice Electrical Engineering and Systems Science - Systems and Control Symmetric matrices Control and Systems Engineering [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering Couplings Space heating Control of networks Mathematics - Optimization and Control Visualization |
| Zdroj: | IEEE Control Systems Letters IEEE Control Systems Letters, IEEE, 2022, 6, pp.2006-2011. ⟨10.1109/LCSYS.2021.3136097⟩ |
| ISSN: | 2475-1456 |
| Popis: | In this letter, we study the leader-synchronization problem for a class of partial differential equations with boundary control and in-domain coupling. We describe the problem in an abstract formulation and we specialize it to a network of parabolic partial differential equations. We consider a setting in which a subset of the followers is connected to the leader through a boundary control, while interconnections among the followers are enforced by distributed in-domain couplings. Sufficient conditions in the form of matrix inequalities for the selection of the control parameters enforcing exponential synchronization are given. Numerical simulations illustrate and corroborate the theoretical findings. Comment: V1 matches published version |
| Databáze: | OpenAIRE |
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