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@incollection{faucris.121816464,
abstract = {We consider optimal control-based boundary feedback stabilization of flow problems for incompressible fluids. We follow an analytical approach laid out during the last years in a series of papers by Barbu, Lasiecka, Triggiani, Raymond, and others. They have shown that it is possible to stabilize perturbed flows described by Navier-Stokes equations by designing a stabilizing controller based on a corresponding linear-quadratic optimal control problem. For this purpose, algorithmic advances in solving the associated algebraic Riccati equations are needed and investigated here. The computational complexity of the new algorithms is essentially proportional to the simulation of the forward problem.},
address = {Basel},
author = {Bänsch, Eberhard and Benner, Peter},
booktitle = {Constrained Optimization and Optimal Control for Partial Differential Equations},
doi = {10.1007/978-3-0348-0133-1{\_}1},
editor = {Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, Stefan Ulbrich,},
faupublication = {yes},
isbn = {978-3-0348-0132-4},
keywords = {Flow control; feedback; Navier-Stokes equations; Riccati equation},
pages = {5-20},
peerreviewed = {unknown},
publisher = {Birkhäuser/ Springer Basel AG},
series = {International Series of Numerical Mathematics},
title = {{Stabilization} of incompressible flow problems by {Riccati}-based feedback},
volume = {160},
year = {2012}
}