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Optimal control problem for a linear stationary fractional order system in the form of a problem of moments: Problem setting and a study

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Abstract

We justify an optimal control problem setting for a linear stationary dynamical system of fractional order in the form of the problem of moments. We study conditions under which the problem of moments can be posed and resolved. We consider special cases (one-dimensional linear stationary system and double integrator) for which we obtain solutions of the problem and study its qualitative dynamics.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    V. A. Kubyshkin & S. S. Postnov

Authors
  1. V. A. Kubyshkin
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  2. S. S. Postnov
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Correspondence to V. A. Kubyshkin.

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Original Russian Text © V.A. Kubyshkin, S.S. Postnov, 2014, published in Avtomatika i Telemekhanika, 2014, No. 5, pp. 3–17.

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Kubyshkin, V.A., Postnov, S.S. Optimal control problem for a linear stationary fractional order system in the form of a problem of moments: Problem setting and a study. Autom Remote Control 75, 805–817 (2014). https://doi.org/10.1134/S0005117914050014

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  • DOI: https://doi.org/10.1134/S0005117914050014

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