<div class="csl-bib-body">
<div class="csl-entry">Veliov, V. (2015). Relaxation of Euler-Type Discrete-Time Control System. In I. Lirkov, S. Margenov, & J. Waśniewski (Eds.), <i>Large-Scale Scientific Computing</i> (pp. 134–141). Springer. https://doi.org/10.1007/978-3-319-26520-9_14</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/28777
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dc.description.abstract
This paper investigates what is the Hausdorff distance
between the set of Euler curves of a Lipschitz continuous differential
inclusion and the set of Euler curves for the corresponding convexified differential inclusion. It is known that this distance can be estimated by O( √ h), where h is the Euler discretization step. It has been conjectured that, in fact, an estimation O(h) holds. The paper presents results in favor of the conjecture, which cover most of the practically relevant cases. However, the conjecture remains unproven, in general.
en
dc.publisher
Springer
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dc.title
Relaxation of Euler-Type Discrete-Time Control System
en
dc.type
Buchbeitrag
de
dc.type
Book Contribution
en
dc.relation.publication
Large-Scale Scientific Computing
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dc.relation.isbn
978-3-319-26519-3
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dc.relation.doi
10.1007/978-3-319-26520-9
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dc.relation.issn
0302-9743
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dc.description.startpage
134
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dc.description.endpage
141
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dc.type.category
Edited Volume Contribution
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dc.relation.eissn
1611-3349
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tuw.booktitle
Large-Scale Scientific Computing
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tuw.book.ispartofseries
Lecture Notes in Computer Science
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tuw.relation.publisher
Springer Cham
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tuw.relation.publisherplace
Schweiz
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tuw.book.chapter
14
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tuw.researchTopic.id
A4
-
tuw.researchTopic.id
C6
-
tuw.researchTopic.name
Mathematical Methods in Economics
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tuw.researchTopic.name
Modelling and Simulation
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tuw.researchTopic.value
30
-
tuw.researchTopic.value
70
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tuw.publication.orgunit
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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tuw.publisher.doi
10.1007/978-3-319-26520-9_14
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dc.description.numberOfPages
8
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tuw.editor.orcid
0000-0002-5870-2588
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wb.sciencebranch
Mathematik
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wb.sciencebranch
Wirtschaftswissenschaften
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.oefos
5020
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wb.facultyfocus
Wirtschaftsmathematik und Stochastik
de
wb.facultyfocus
Mathematical Methods in Economics and Stochastics
en
wb.facultyfocus.faculty
E100
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item.grantfulltext
none
-
item.cerifentitytype
Publications
-
item.openairetype
book part
-
item.openairecristype
http://purl.org/coar/resource_type/c_3248
-
item.fulltext
no Fulltext
-
crisitem.author.dept
E105 - Institut für Stochastik und Wirtschaftsmathematik