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Ukrainian Mathematical Journal

, Volume 42, Issue 10, pp 1251–1254 | Cite as

Asymptotic investigation of equations of controlled motion with multivalued trajectories

  • A. V. Plotnikov
Article

Abstract

We consider the possibility of applying the averaging method for optimal control problems with the terminal performance criterion, in which behavior of an object is described by a differential inclusion containing a control.

Keywords

Control Problem Optimal Control Problem Average Method Performance Criterion Control Motion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 1.
    R. J. Aumann, “Integrals of set-valued functions,” J. Math. Anal. Appl.,12, No. 1, 1–12 (1965).Google Scholar
  2. 2.
    V. A. Plotnikov, “Partial averaging of a differential inclusion,” Mat. Zametki,27, No. 6, 947–952 (1980).Google Scholar
  3. 3.
    A. V. Plotnikov, “Averaging of the equations of a controlled motion with multivalued trajectories,” Ukr. Mat. Zh.,39. No. 5, 657–659 (1987).Google Scholar
  4. 4.
    V. A. Plotnikov, “Asymptotic investigation of the equations of controlled motion,” Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 4, 30–37 (1984).Google Scholar

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • A. V. Plotnikov
    • 1
  1. 1.Odessa Pedagogical InstituteUSSR

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