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Development of the Markov moment problem approach in the optimal control theory


Abstract

The paper is a survey of the main ideas and results on using of the Markov moment problem method in the optimal control theory. It contains a version of the presentation of the Markov moment approach to the time-optimal control theory, linear and nonlinear.


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Article Information

TitleDevelopment of the Markov moment problem approach in the optimal control theory
SourceMethods Funct. Anal. Topology, Vol. 13 (2007), no. 4, 386-400
MathSciNet   MR2374838
CopyrightThe Author(s) 2007 (CC BY-SA)

Authors Information

S. Yu. Ignatovich
Department of Differential Equations and Control, Kharkiv National University, 4 Svobody sqr., Kharkiv, 61077, Ukraine

G. M. Sklya
Institute of Mathematics, University of Szczecin, Wielkopolska str. 15, 70-451, Szczecin, Poland; Department of Differential Equations and Control, Kharkiv National University, 4 Svobody sqr., Kharkiv, 61077, Ukraine


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Citation Example

S. Yu. Ignatovich and G. M. Sklyar, Development of the Markov moment problem approach in the optimal control theory, Methods Funct. Anal. Topology 13 (2007), no. 4, 386-400.


BibTex

@article {MFAT412,
    AUTHOR = {Ignatovich, S. Yu. and Sklyar, G. M.},
     TITLE = {Development of the Markov moment problem approach in the optimal control theory},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {13},
      YEAR = {2007},
    NUMBER = {4},
     PAGES = {386-400},
      ISSN = {1029-3531},
  MRNUMBER = {MR2374838},
       URL = {http://mfat.imath.kiev.ua/article/?id=412},
}


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