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Journal of Mathematical Sciences

, Volume 243, Issue 2, pp 192–203 | Cite as

Approximation of Solutions to the Optimal Control Problems for Systems with Maximum

  • S. DashkovskiyEmail author
  • O. Kichmarenko
  • K. Sapozhnikova
Article
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We consider optimal control problems for nonlinear systems whose dynamics depends on the maximum of the control function and the maximum of the state over a certain time interval of prehistory. We are interested in the approximation of solutions for this kind of problems. An averaging method is developed for this purpose.

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • S. Dashkovskiy
    • 1
    Email author
  • O. Kichmarenko
    • 2
  • K. Sapozhnikova
    • 3
  1. 1.University of WürzburgWürzburgGermany
  2. 2.Mechnikov Odessa National University, Institute of Mathematics, Economics, and MechanicsOdessaUkraine
  3. 3.University of WürzburgWürzburgGermany

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