Gugat M, Grimm V (2011)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2011
Publisher: Springer Verlag (Germany)
Book Volume: 49
Pages Range: 123-147
Journal Issue: 1
URI: http://springerlink.com/content/k6345j348j147564/
DOI: 10.1007/s10589-009-9289-7
In optimal control problems frequently pointwise control constraints appear. We consider a finite string that is fixed at one end and controlled via Dirichlet conditions at the other end with a given upper bound M for the L ∞-norm of the control. The problem is to control the string to the zero state in a given finite time. If M is too small, no feasible control exists. If M is large enough, the optimal control problem to find an admissible control with minimal L 2-norm has a solution that we present in this paper. A finite difference discretization of the optimal control problem is considered and we prove that for Lipschitz continuous data the discretization error is of the order of the stepsize. © 2009 Springer Science+Business Media, LLC.
APA:
Gugat, M., & Grimm, V. (2011). Optimal boundary control of the wave equation with pointwise control constraints. Computational Optimization and Applications, 49(1), 123-147. https://doi.org/10.1007/s10589-009-9289-7
MLA:
Gugat, Martin, and Volker Grimm. "Optimal boundary control of the wave equation with pointwise control constraints." Computational Optimization and Applications 49.1 (2011): 123-147.
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