DOI: 10.1515/gmj-2023-2054 ISSN: 1072-947X

Approximate solution of the optimal control problem for non-linear differential inclusion on the semi-axes

Nina Kasimova, Tetiana Zhuk, Iryna Tsyganivska
  • General Mathematics

Abstract

We consider the optimal control problem of a non-linear system of differential inclusions with fast-oscillating parameters on semi-axes. Using the averaging method, we find an approximate solution for the optimal control of non-linear differential inclusions with fast-oscillating coefficients on a semi-axes. Thus, we prove the convergence of the optimal controls of the initial control problem to the optimal process of the averaged problem and the convergence of the corresponding cost functionals.

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