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A measure-theoretical approach for solving discrete optimal control problems

نویسنده:
مرتضی گچ پزان
,
اکبر هاشمی برزابادی
,
علی وحیدیان کامیاد
,
Mortaza Gachpazan
,
Ali Vahidian Kamyad
سال
: 2006
چکیده: In this paper, a new approach for finding an approximate solution for discrete optimal

control problems is introduced. In this method the problem is transformed to a continuous

optimal control problem whose solution may give rise to a good approximate solution

for the original problem. Then, a measure-theoretical approach is applied to solve

the new problem. The method is extended to solve time-optimal problems which is governed

by a nonlinear discrete system. Finally, some numerical examples are proposed.
یو آر آی: http://libsearch.um.ac.ir:80/fum/handle/fum/3376459
کلیدواژه(گان): Discrete optimal control,Measure theory,Linear programming
کالکشن :
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    A measure-theoretical approach for solving discrete optimal control problems

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contributor authorمرتضی گچ پزانen
contributor authorاکبر هاشمی برزابادیen
contributor authorعلی وحیدیان کامیادen
contributor authorMortaza Gachpazanfa
contributor authorAli Vahidian Kamyadfa
date accessioned2020-06-06T13:57:35Z
date available2020-06-06T13:57:35Z
date issued2006
identifier urihttp://libsearch.um.ac.ir:80/fum/handle/fum/3376459
description abstractIn this paper, a new approach for finding an approximate solution for discrete optimal

control problems is introduced. In this method the problem is transformed to a continuous

optimal control problem whose solution may give rise to a good approximate solution

for the original problem. Then, a measure-theoretical approach is applied to solve

the new problem. The method is extended to solve time-optimal problems which is governed

by a nonlinear discrete system. Finally, some numerical examples are proposed.
en
languageEnglish
titleA measure-theoretical approach for solving discrete optimal control problemsen
typeJournal Paper
contenttypeExternal Fulltext
subject keywordsDiscrete optimal controlen
subject keywordsMeasure theoryen
subject keywordsLinear programmingen
journal titleApplied Mathematics and Computationen
journal titleApplied Mathematics and Computationfa
journal volume0
journal issue0
identifier linkhttps://profdoc.um.ac.ir/paper-abstract-1010625.html
identifier articleid1010625
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