Relaxing mixed integer optimal control problems using a time transformation

Relaxing mixed integer optimal control problems using a time transformation We consider the computation of the ℒ∞‐norm for a general class of ℒ∞‐functions and focus on the case where the function is represented in terms of large‐scale matrix‐valued factors. We propose a subspace projection method to obtain reduced approximations of this function by interpolation techniques. The ℒ∞‐norms are computed for the resulting reduced functions, then the subspaces are refined by means of the optimizer of the ℒ∞‐norm of the reduced function. In this way we obtain much better performance compared to existing methods. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings in Applied Mathematics & Mechanics Wiley

Relaxing mixed integer optimal control problems using a time transformation

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Publisher
Wiley Subscription Services, Inc., A Wiley Company
Copyright
Copyright © 2017 Wiley Subscription Services
ISSN
1617-7061
eISSN
1617-7061
D.O.I.
10.1002/pamm.201710343
Publisher site
See Article on Publisher Site

Abstract

We consider the computation of the ℒ∞‐norm for a general class of ℒ∞‐functions and focus on the case where the function is represented in terms of large‐scale matrix‐valued factors. We propose a subspace projection method to obtain reduced approximations of this function by interpolation techniques. The ℒ∞‐norms are computed for the resulting reduced functions, then the subspaces are refined by means of the optimizer of the ℒ∞‐norm of the reduced function. In this way we obtain much better performance compared to existing methods. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Journal

Proceedings in Applied Mathematics & MechanicsWiley

Published: Jan 1, 2017

References

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