A strict \(H^1\)-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction

DOI10.3934/naco.2011.1.225zbMath1242.76296OpenAlexW2330838369WikidataQ104129278 ScholiaQ104129278MaRDI QIDQ428978

Markus Dick, Martin Gugat, Günter R. Leugering

Publication date: 25 June 2012

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2011.1.225

zbMATH Keywords

boundary controlLyapunov functionfeedback stabilizationexponential stabilityconservation lawRiemann invariantsdistributed parameter systemisothermal Euler equationsfriction termgas network\(C^0\)-norm\(C^1\)-norm\(H^1\)-normfeedback law

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for first-order hyperbolic systems (35L50) Flow control and optimization for compressible fluids and gas dynamics (76N25)

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