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SIAMCO
2011
12 years 11 months ago
Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints
In this paper optimal control problems governed by the wave equation with control constraints are analyzed. Three types of control action are considered: distributed control, Neuma...
Axel Kröner, Karl Kunisch, Boris Vexler
SIAMCO
2010
153views more  SIAMCO 2010»
12 years 11 months ago
Optimal Control for an Elliptic System with Polygonal State Constraints
This work is devoted to stationary optimal control problems with polygonal constraints on the components of the state. Existence of Lagrange multipliers, of different regularity, i...
Karl Kunisch, Kewei Liang, Xiliang Lu
MCS
2008
Springer
13 years 4 months ago
A nonsmooth Newton's method for control-state constrained optimal control problems
We investigate optimal control problems subject to mixed control-state constraints. The necessary conditions are stated in terms of a local minimum principle. By use of the Fischer...
Matthias Gerdts
MCS
2008
Springer
13 years 4 months ago
Numerical optimal control of the wave equation: optimal boundary control of a string to rest in finite time
In many real-life applications of optimal control problems with constraints in form of partial differential equations (PDEs), hyperbolic equations are involved which typically desc...
Matthias Gerdts, Günter Greif, Hans Josef Pes...
CDC
2010
IEEE
151views Control Systems» more  CDC 2010»
12 years 8 months ago
Receding horizon optimal control for the wave equation
— We present a receding horizon optimal control approach for the one-dimensional linear wave equation. In order to prove stability and suboptimality of this approach we use a wei...
Nils Altmuller, Lars Grüne, Karl Worthmann