Scholarlink

<p>In the class of bilinear optimal control problems, conditions of optimality and control improvement in the form of special fixed-point problems on a set of admissible controls are considered. The conditions obtained make it possible to apply and modify the technique of the fixed-point theory and methods known in computational mathematics to search for extremal and improving controls. Iterative methods for the search for extremal and improving controls are constructed and analyzed. The efficiency of the proposed optimization methods are compared with the previously known methods.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Optimization Methods for Bilinear Control Systems Based on Fixed-Point Problems

  • 期刊论文

  • 发表日期：

    2025年6月1日

查看全文
  • A. S. Buldaev,
  • I. D. Kazmin

摘要

In the class of bilinear optimal control problems, conditions of optimality and control improvement in the form of special fixed-point problems on a set of admissible controls are considered. The conditions obtained make it possible to apply and modify the technique of the fixed-point theory and methods known in computational mathematics to search for extremal and improving controls. Iterative methods for the search for extremal and improving controls are constructed and analyzed. The efficiency of the proposed optimization methods are compared with the previously known methods.