First order conditions for generalized variational problems over time scales
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F11%3A00049947" target="_blank" >RIV/00216224:14310/11:00049947 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.camwa.2011.08.065" target="_blank" >http://dx.doi.org/10.1016/j.camwa.2011.08.065</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2011.08.065" target="_blank" >10.1016/j.camwa.2011.08.065</a>
Alternative languages
Result language
angličtina
Original language name
First order conditions for generalized variational problems over time scales
Original language description
In this paper we derive the weak Pontryagin principle for generalized optimal control problems over time scales. Three types of problems are considered, namely (i) the problems involving the values of the state endpoints in the Lagrangian and the dynamics, (ii) the problems with an integral of the state in the Lagrangian and the dynamics, and (iii) the isoperimetric problems. As special cases we obtain the first order optimality conditions for the corresponding calculus of variations problems, which have been of a recent interest in the literature. Our method is based on transforming the generalized optimal control or calculus of variations problem into a traditional optimal control problem on time scales, to which the known weak Pontryagin principle can be applied.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computers & Mathematics with Applications
ISSN
0898-1221
e-ISSN
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Volume of the periodical
62
Issue of the periodical within the volume
9
Country of publishing house
US - UNITED STATES
Number of pages
14
Pages from-to
3490-3503
UT code for WoS article
000296987000020
EID of the result in the Scopus database
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