Abstract
In this paper we consider several control problems governed by Burgers’ equation. We use a linearized model to compute feedback control laws and apply these laws to the full nonlinear model. We investigate problems with unbounded inputs and observations. A finite element scheme is used to compute feedback gains and several numerical experiments are performed to illustrate the theoretical results.
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Burns, J.A., Kang, S. (1991). A stabilization problem for Burgers’ equation with unbounded control and observation. In: Desch, W., Kappel, F., Kunisch, K. (eds) Estimation and Control of Distributed Parameter Systems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 100. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6418-3_3
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DOI: https://doi.org/10.1007/978-3-0348-6418-3_3
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