Transformation preserving controllability for nonlinear optimal control problems with joint boundary conditions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00119059" target="_blank" >RIV/00216224:14310/21:00119059 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1051/cocv/2021068" target="_blank" >https://doi.org/10.1051/cocv/2021068</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/cocv/2021068" target="_blank" >10.1051/cocv/2021068</a>
Alternative languages
Result language
angličtina
Original language name
Transformation preserving controllability for nonlinear optimal control problems with joint boundary conditions
Original language description
In this paper we develop a new approach for optimal control problems with general jointly varying state endpoints (also called coupled endpoints). We present a new transformation of a nonlinear optimal control problem with jointly varying state endpoints and pointwise equality control constraints into an equivalent optimal control problem of the same type but with separately varying state endpoints in double dimension. Our new transformation preserves among other properties the controllability (normality) of the considered optimal control problems. At the same time it is well suited even for the calculus of variations problems with joint state endpoints, as well as for optimal control problems with free initial and/or final time. This work is motivated by the results on the second order Sturm–Liouville eigenvalue problems with joint endpoints by Dwyer and Zettl (1994) and by the sensitivity result for nonlinear optimal control problems with separated state endpoints by the authors (2018).
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA19-01246S" target="_blank" >GA19-01246S: New oscillation theory for linear Hamiltonian and symplectic systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ESAIM: Control, Optimisation and Calculus of Variations
ISSN
1292-8119
e-ISSN
1262-3377
Volume of the periodical
27
Issue of the periodical within the volume
July
Country of publishing house
FR - FRANCE
Number of pages
35
Pages from-to
„75“
UT code for WoS article
000675417500004
EID of the result in the Scopus database
2-s2.0-85110490020