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An approach to the solution of the vector optimization problem of dynamic systems

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Abstract

The optimal control problem with vector-valued criteria is considered. A new approach to the generalization of this problem and a method of constructing the Bellman function are given.

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Authors and Affiliations

  1. Institute of Control Systems, Georgian Academy of Sciences, Tbilisi, USSR

    M. Salukvadze (Staff Member)

Authors
  1. M. Salukvadze
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Communicated by G. Leitmann

Paper prepared during the author's visiting period at the Centro di Studio dei Sistemi di Controllo e Calcolo Automatici, Consiglio Nazionale delle Richerche, Roma, Italia; at Istituto di Mathematica Applicata; and at the Sezione Automatica, Informatica, e Sistemistica, Instituto di Elettronica, Facolta di Ingegneria, Universita di Firenze, Firenze, Italia.

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Salukvadze, M. An approach to the solution of the vector optimization problem of dynamic systems. J Optim Theory Appl 38, 409–422 (1982). https://doi.org/10.1007/BF00935346

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  • DOI: https://doi.org/10.1007/BF00935346

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