Scholarlink

In this chapter, we consider an optimal control problem with so-called pointwise control. This means that the right-hand side of the state equation is given as a linear combination of Dirac measures at some fixed points, where the coefficients build the control vector q. This structure leads to a finite-dimensional control space and a reduced regularity of the state equation. For this problem, we discuss optimality conditions and regularity of the solutions and provide numerical error analysis.

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

Pointwise Control

  • 章节

  • 发表日期：

    2025年

查看全文
  • Boris Vexler,
  • Dominik Meidner

摘要

In this chapter, we consider an optimal control problem with so-called pointwise control. This means that the right-hand side of the state equation is given as a linear combination of Dirac measures at some fixed points, where the coefficients build the control vector q. This structure leads to a finite-dimensional control space and a reduced regularity of the state equation. For this problem, we discuss optimality conditions and regularity of the solutions and provide numerical error analysis.