<div class="csl-bib-body">
<div class="csl-entry">Haunschmied, J. L., Pietrus, A., & Veliov, V. (2014). The Euler Method for Linear Control Systems Revisited. In I. Lirkov, S. Margenov, & J. Wasniewski (Eds.), <i>Large-Scale Scientific Computing 9th International Conference, LSSC 2013, Sozopol, Bulgaria, June 3-7, 2013. Revised Selected Papers</i> (pp. 90–97). Springer Verlag Berlin-Heidelberg. https://doi.org/10.1007/978-3-662-43880-0_9</div>
</div>
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dc.identifier.isbn
9783662438800
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dc.identifier.isbn
9783662438794
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/41346
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dc.description.abstract
Although optimal control problems for linear systems have been profoundly investigated in the past more than 50 years, the issue of numerical approximations and precise error analyses remains challenging due the bang-bang structure of the optimal controls. Based on a recent paper by M. Quincampoix and V.M. Veliov on metric regularity of the optimality conditions for control problems of linear systems the paper presents new error estimates for the Euler discretization scheme applied to such problems. It turns out that the accuracy of the Euler method depends on the "controllability index" associated with the optimal solution, and a sharp error estimate is given in terms of this index. The result extends and strengthens in several directions some recently published ones.
en
dc.publisher
Springer Verlag Berlin-Heidelberg
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dc.relation.ispartofseries
Lecture Notes in Computer Science
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dc.title
The Euler Method for Linear Control Systems Revisited.
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dc.type
Konferenzbeitrag
de
dc.type
Inproceedings
en
dc.relation.isbn
978-3-662-43879-4
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dc.relation.doi
10.1007/978-3-662-43880-0
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dc.relation.issn
0302-9743
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dc.description.startpage
90
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dc.description.endpage
97
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dc.type.category
Full-Paper Contribution
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dc.relation.eissn
1611-3349
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tuw.booktitle
Large-Scale Scientific Computing 9th International Conference, LSSC 2013, Sozopol, Bulgaria, June 3-7, 2013. Revised Selected Papers
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tuw.peerreviewed
true
-
tuw.book.ispartofseries
Lecture Notes in Computer Science
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tuw.relation.publisher
Springer
-
tuw.relation.publisherplace
Berlin, Heidelberg
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tuw.researchTopic.id
A4
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tuw.researchTopic.id
C6
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tuw.researchTopic.name
Mathematical Methods in Economics
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tuw.researchTopic.name
Modelling and Simulation
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tuw.researchTopic.value
50
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tuw.researchTopic.value
50
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tuw.publication.orgunit
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
