<div class="csl-bib-body">
<div class="csl-entry">Krastanov, M., & Veliov, V. (2010). High-order approximations of nonholonomic affine control systems. In I. Lirkov, S. Margenov, & J. Waśniewski (Eds.), <i>Large-Scale Scientific Computing: 7th International Conference, LSSC 2009</i> (pp. 294–301). Springer. https://doi.org/10.1007/978-3-642-12535-5_34</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/26794
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dc.description.abstract
This paper contributes to the theory of approximations of
continuous-time control/uncertain systems by discrete-time ones. Dis-
crete approximations of higher than ¯rst order accuracy are known for
a±ne control systems only in the case of commutative controlled vector fields. The novelty in this paper is that constructive second order discrete approximations are obtained in the case of two non-commutative vector fields. An explicit parameterization of the reachable set of the Brockett non-holonomic integrator is a key auxiliary tool. The approach is not limited to the present deterministic framework and may be extended to
stochastic differential equations, where similar di±culties appear in the non-commutative case.
en
dc.language.iso
en
-
dc.publisher
Springer
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dc.relation.ispartofseries
Lecture Notes in Computer Science
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dc.title
High-order approximations of nonholonomic affine control systems
en
dc.type
Konferenzbeitrag
de
dc.type
Inproceedings
en
dc.relation.publication
Large-Scale Scientific Computing: 7th International Conference, LSSC 2009
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dc.contributor.editoraffiliation
Institute for Parallel Processing, Bulgaria
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dc.relation.isbn
978-3-642-12535-5
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dc.relation.doi
10.1007/978-3-642-12535-5
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dc.description.startpage
294
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dc.description.endpage
301
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dc.type.category
Full-Paper Contribution
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tuw.booktitle
Large-Scale Scientific Computing: 7th International Conference, LSSC 2009
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tuw.container.volume
5910
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tuw.peerreviewed
true
-
tuw.book.ispartofseries
Lecture Notes in Computer Science
-
tuw.relation.publisher
Springer Verlag
-
tuw.researchTopic.id
C3
-
tuw.researchTopic.name
Computational System Design
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tuw.researchTopic.value
100
-
tuw.publication.orgunit
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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tuw.publisher.doi
10.1007/978-3-642-12535-5_34
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dc.description.numberOfPages
8
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tuw.editor.orcid
0000-0001-8858-831X
-
tuw.event.name
7th International Conference on Large-Scale Scientific Computing, LSSC 2009
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tuw.event.startdate
04-06-2009
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tuw.event.enddate
08-06-2009
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.place
Sozopol
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tuw.event.country
BG
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tuw.event.presenter
Krastanov, Michail
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wb.sciencebranch
Mathematik, Informatik
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wb.sciencebranch.oefos
11
-
wb.facultyfocus
Analysis und Scientific Computing
de
wb.facultyfocus
Analysis and Scientific Computing
en
wb.facultyfocus.faculty
E100
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item.languageiso639-1
en
-
item.openairetype
conference paper
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item.grantfulltext
none
-
item.fulltext
no Fulltext
-
item.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/c_5794
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crisitem.author.dept
E105 - Institut für Stochastik und Wirtschaftsmathematik
