A Variational Formulation for LTI-Systems and Model Reduction

Feuerle, Moritz; Urban, Karsten

doi:10.1007/978-3-030-55874-1_105

Moritz Feuerle⁹ &
Karsten Urban⁹

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 139))

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Abstract

We consider a variational formulation of Linear Time-Invariant (LTI)-systems and derive a model reduction in dimension and time inspired by space-time variational reduced basis (RB) methods for parabolic problems. A residual-type RB error estimator is derived whose effectivity is investigated numerically.

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Notes

1.
We often omit the dependency on the control for simplicity.

References

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Authors and Affiliations

Institute for Numerical Mathematics, Ulm University, Ulm, Germany
Moritz Feuerle & Karsten Urban

Authors

Moritz Feuerle
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Karsten Urban
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Correspondence to Karsten Urban .

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Editors and Affiliations

DIAM, Delft University of Technology, Delft, The Netherlands
Fred J. Vermolen
DIAM, Delft University of Technology, Delft, The Netherlands
Cornelis Vuik

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Feuerle, M., Urban, K. (2021). A Variational Formulation for LTI-Systems and Model Reduction. In: Vermolen, F.J., Vuik, C. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2019. Lecture Notes in Computational Science and Engineering, vol 139. Springer, Cham. https://doi.org/10.1007/978-3-030-55874-1_105

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DOI: https://doi.org/10.1007/978-3-030-55874-1_105
Published: 22 August 2020
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-55873-4
Online ISBN: 978-3-030-55874-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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