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


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.


Control Problem Optimal Control Problem Average Method Performance Criterion Control Motion 
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Literature cited

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    R. J. Aumann, “Integrals of set-valued functions,” J. Math. Anal. Appl.,12, No. 1, 1–12 (1965).Google Scholar
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    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
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    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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