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.

Full Text

Article Information

Title	Development of the Markov moment problem approach in the optimal control theory
Source	Methods Funct. Anal. Topology, Vol. 13 (2007), no. 4, 386-400
MathSciNet	MR2374838
Copyright	The 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. Sklyar 
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

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},
}