Optimization of the Multidimensional Control Systems with Parallelepiped Constraints

  • Authors:

  • R. Gabasov;N. M. Dmitruk;F. M. Kirillova

  • Affiliations:

  • Belarussian State University, Minsk, Belarus;Institute of Mathematics, Belarussian National Academy of Sciences, Minsk, Belarus;Institute of Mathematics, Belarussian National Academy of Sciences, Minsk, Belarus

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2002

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Abstract

The general problem of optimization of the linear nonstationary multidimensional systems with parallelepiped control constraints was considered. Two problems of designing the optimal program controls and optimal feedback controls were solved. The proposed methods rely on a new realization of the adaptive method of linear programming. The results were illustrated by examples.