Elliptic optimal control problems with L1-control cost and applications for the placement of control devices

@article{Stadler2009EllipticOC,
  title={Elliptic optimal control problems with L1-control cost and applications for the placement of control devices},
  author={Georg Stadler},
  journal={Comp. Opt. and Appl.},
  year={2009},
  volume={44},
  pages={159-181}
}
Elliptic optimal control problems with L-control cost are analyzed. Due to the nonsmooth objective functional the optimal controls are identically zero on large parts of the control domain. For applications, in which one cannot put control devices (or actuators) all over the control domain, this provides information about where it is most efficient to put them. We analyze structural properties of Lcontrol cost solutions. For solving the non-differentiable optimal control problem we propose a… CONTINUE READING

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