Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks

DOI10.1093/imamci/dnab029zbMath1480.93341arXiv2105.00184OpenAlexW3200047462WikidataQ115539100 ScholiaQ115539100MaRDI QIDQ5021471

Teresa Kunkel, Martin Gugat, Jan Giesselmann

Publication date: 13 January 2022

Published in: IMA Journal of Mathematical Control and Information (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00184

zbMATH Keywords

networkobservability inequalitygas transportation networkexponential synchronizationsemilinear hyperbolic PDEgeneral graphnode conditionsnetworked hyperbolic system

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for first-order hyperbolic equations (35L04) Exponential stability (93D23) Observers (93B53)

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