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<p>In the class of bilinear optimal control problems with constraints, necessary optimality conditions are constructed in the form of special fixed-point problems with an additional condition. This form allows one to construct new iterative methods for finding extremal admissible control based on methods of the fixed-point theory. Successive approximations of the control satisfy all constraints of the problem and improve previous approximations.</p>

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METHODS FOR FINDING EXTREMAL CONTROLS IN BILINEAR SYSTEMS WITH CONSTRAINTS

  • 期刊论文

  • 发表日期：

    2026年8月4日

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  • I. D. Kazmin,
  • A. S. Buldaev

摘要

In the class of bilinear optimal control problems with constraints, necessary optimality conditions are constructed in the form of special fixed-point problems with an additional condition. This form allows one to construct new iterative methods for finding extremal admissible control based on methods of the fixed-point theory. Successive approximations of the control satisfy all constraints of the problem and improve previous approximations.