@unpublished{BrodskyiHanteSeidel2019,
  author  = {Yan Brodskyi and Falk Hante and Arno Seidel},
  title   = {Stabilization of Partial Differential Equations by Sequential Action Control},
  institution = {Friedrich-Alexander-Universit{\"a}t Erlangen-N{\"u}rnberg},
  year    = {2019},
  abstract  = {We extend the framework of sequential action control to systems of partial differential equations which can be posed as abstract linear control problems in a Hilbert space. We follow a late-lumping approach and show that the control action can be explicitly obtained from variational principles using adjoint information. Moreover, we analyze the closed-loop system obtained from the SAC feedback for quadratic stage costs. We apply this theory prototypically to an unstable heat equation and verify the results numerically.},
  url  = {https://opus4.kobv.de/opus4-trr154/271},
  type = {Preprint},
  institution  = {TRR 154}
}