Proper Orthogonal Decomposition for Linear-Quadratic Optimal Control

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BENNER, Peter, ed. and others. Model reduction and approximation : theory and algorithms. Philadelphia: SIAM, 2017, pp. 3-63. Computational science and engineering. 15. ISBN 978-1-61197-481-2. Available under: doi: 10.1137/1.9781611974829.ch1
Zusammenfassung

Optimal control problems for partial differential equations (PDEs) are often hard to tackle numerically because their discretization leads to very large scale optimization problems. Therefore, different techniques of model reduction were developed to approximate these problems by smaller ones that are tractable with less effort.

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ISO 690GUBISCH, Martin, Stefan VOLKWEIN, 2017. Proper Orthogonal Decomposition for Linear-Quadratic Optimal Control. In: BENNER, Peter, ed. and others. Model reduction and approximation : theory and algorithms. Philadelphia: SIAM, 2017, pp. 3-63. Computational science and engineering. 15. ISBN 978-1-61197-481-2. Available under: doi: 10.1137/1.9781611974829.ch1
BibTex
@incollection{Gubisch2017Prope-25037.2,
  year={2017},
  doi={10.1137/1.9781611974829.ch1},
  title={Proper Orthogonal Decomposition for Linear-Quadratic Optimal Control},
  number={15},
  isbn={978-1-61197-481-2},
  publisher={SIAM},
  address={Philadelphia},
  series={Computational science and engineering},
  booktitle={Model reduction and approximation : theory and algorithms},
  pages={3--63},
  editor={Benner, Peter},
  author={Gubisch, Martin and Volkwein, Stefan}
}
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