On global stabilization of Burgers' equation by boundary control.

DOI10.1016/S0167-6911(99)00013-4zbMath1074.93552OpenAlexW2172490084WikidataQ59622096 ScholiaQ59622096MaRDI QIDQ1292274

Publication date: 21 June 1999

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(99)00013-4

zbMATH Keywords

Burgers' equation Nonlinear control Stabilization Boundary control

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Incompressible viscous fluids (76D99)

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Cites Work