Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction

DOI10.3934/mcrf.2011.1.469zbMath1368.76010OpenAlexW2323574770WikidataQ104129286 ScholiaQ104129286MaRDI QIDQ427953

Markus Dick, Martin Gugat

Publication date: 18 June 2012

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2011.1.469

zbMATH Keywords

boundary controlLyapunov functiontime delaydelayfeedback stabilizationconservation lawEuler equationsdelay term\(L^2\)-normRiemann invariantshyperbolic PDEfeedback with delayfriction termgas networkstar-shaped network

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Stability in context of PDEs (35B35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Euler equations (35Q31)

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