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Model. Anal. Inform. Sist., 2013, Volume 20, Number 3, Pages 130–152 (Mi mais317)  

This article is cited in 2 scientific papers (total in 2 papers)

Transformations of Optimal Control Problems

A. Tsirlin

Program Systems Institute of RAS, Petra I st., 2, s. Ves’kovo, Pereslavskii raion, Yaroslavskaya obl., 152021, Russia

Abstract: The paper considers such transformations of variational and optimal control problems (by a change of phase variables) that help to get the solution. Among these techniques are methods of the dimensionality reduction by a transition from an original argument to a new one, by a detection of a variable staying unchanged through equations of the system (invariant), by extension of the original problem and a transition from it to a simpler problem that gives an estimate solution of the original one. In some cases we can get a solution that is simplified by a transition from a set of conditions in the form of differential equations to the only integral condition. This relates to equations with a retarded argument. The paper gives examples of application of these techniques to real engineering problems such as an optimal control of biosynthesis, cooling of crystal systems by a laser radiation, etc.

Keywords: optimum control, transformation, variable condition, decision.

Full text: PDF file (517 kB)
References: PDF file   HTML file
UDC: 519.3
Received: 26.04.2013

Citation: A. Tsirlin, “Transformations of Optimal Control Problems”, Model. Anal. Inform. Sist., 20:3 (2013), 130–152

Citation in format AMSBIB
\Bibitem{Tsi13}
\by A.~Tsirlin
\paper Transformations of Optimal Control Problems
\jour Model. Anal. Inform. Sist.
\yr 2013
\vol 20
\issue 3
\pages 130--152
\mathnet{http://mi.mathnet.ru/mais317}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. I. Gurman, I. V. Rasina, I. S. Guseva, O. V. Fesko, “Metody priblizhennogo resheniya zadach optimalnogo upravleniya”, Programmnye sistemy: teoriya i prilozheniya, 6:4 (2015), 113–137  mathnet
    2. V. I. Gurman, I. V. Rasina, O. V. Fes'ko, I. S. Guseva, “On certain approaches to optimization of control processes. I”, Autom. Remote Control, 77:8 (2016), 1370–1385  mathnet  crossref  isi  elib  elib
  • Моделирование и анализ информационных систем
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