线性变分方程和不等式的最优集的存在性

Pub Date : 2024-09-19 DOI:10.1134/s0012266124060053

V. G. Zamuraev

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引用次数: 0

摘要

摘要本文考虑了一个最优控制问题，在该问题中，工厂由希尔伯特空间中的线性函数方程描述，控制作用是空间的变化。本文获得了解存在的充分条件。这些结果被推广到工厂由线性变分不等式描述的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence of Optimal Sets for Linear Variational Equations and Inequalities

Abstract

The paper considers an optimal control problem in which the plant is described by a linear functional equation in a Hilbert space and a control action is a change of the space. Sufficient conditions for the existence of a solution are obtained. The results are generalized to the case in which the plant is described by a linear variational inequality.

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