Line Integral in Optimal Control Problems
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F17%3A50013596" target="_blank" >RIV/62690094:18450/17:50013596 - isvavai.cz</a>
Výsledek na webu
<a href="http://fim2.uhk.cz/mme/conferenceproceedings/mme2017_conference_proceedings.pdf" target="_blank" >http://fim2.uhk.cz/mme/conferenceproceedings/mme2017_conference_proceedings.pdf</a>
DOI - Digital Object Identifier
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Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Line Integral in Optimal Control Problems
Popis výsledku v původním jazyce
Many problems encountered in management and economics can be formulated as optimal control problems. To solve an optimal control problem necessary conditions known as Pontryagin's maximum principle are introduced first. These conditions are formulated as a system of ordinary differential equations - either as an initial problem or as a boundary value problem - and they give us a basic idea about possible optimal solution to the given problem. The aim of this paper is to describe a class of optimal control problems that can be solved without using Pontryagin's maximum principle and without using a system of ordinary differential equations. At first a class of optimal control problems that can be formulated as a line integral is introduced. Then general results for finite time horizon problems that are based on Green's theorem are presented. Finally a particular use of the described method for neoclassical growth model with linear utility function on finite time horizon is introduced. The received solution corresponds with the solution acquired by Pontryagin's maximum principle.
Název v anglickém jazyce
Line Integral in Optimal Control Problems
Popis výsledku anglicky
Many problems encountered in management and economics can be formulated as optimal control problems. To solve an optimal control problem necessary conditions known as Pontryagin's maximum principle are introduced first. These conditions are formulated as a system of ordinary differential equations - either as an initial problem or as a boundary value problem - and they give us a basic idea about possible optimal solution to the given problem. The aim of this paper is to describe a class of optimal control problems that can be solved without using Pontryagin's maximum principle and without using a system of ordinary differential equations. At first a class of optimal control problems that can be formulated as a line integral is introduced. Then general results for finite time horizon problems that are based on Green's theorem are presented. Finally a particular use of the described method for neoclassical growth model with linear utility function on finite time horizon is introduced. The received solution corresponds with the solution acquired by Pontryagin's maximum principle.
Klasifikace
Druh
D - Stať ve sborníku
CEP obor
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OECD FORD obor
10102 - Applied mathematics
Návaznosti výsledku
Projekt
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Návaznosti
S - Specificky vyzkum na vysokych skolach
Ostatní
Rok uplatnění
2017
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název statě ve sborníku
Mathematical methods in economics (MME 2017) : conference proceedings
ISBN
978-80-7435-678-0
ISSN
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e-ISSN
neuvedeno
Počet stran výsledku
6
Strana od-do
602-607
Název nakladatele
Gaudeamus
Místo vydání
Hradec Králové
Místo konání akce
University of Hradec Kralove
Datum konání akce
13. 9. 2017
Typ akce podle státní příslušnosti
WRD - Celosvětová akce
Kód UT WoS článku
000427151400103