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<p>We consider the problem of optimal control for a system of differential equations with rapidly oscillating coefficients and a coercive target functional. The final time is not fixed. It is specified as the first time of hitting of a given closed bounded subset of the phase space by the phase point. The solvability of this problem is proved, and the convergence of the optimal solutions of the original problem to the optimal process of the problem with averaged parameters is justified.</p>

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On the Application of the Averaging Method to One Problem of Optimal Control with Nonfixed Time

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • B. Ogul

摘要

We consider the problem of optimal control for a system of differential equations with rapidly oscillating coefficients and a coercive target functional. The final time is not fixed. It is specified as the first time of hitting of a given closed bounded subset of the phase space by the phase point. The solvability of this problem is proved, and the convergence of the optimal solutions of the original problem to the optimal process of the problem with averaged parameters is justified.