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In this chapter, we lift the state equation from \(\mathbb {R}^n\) into an infinite dimensional Hilbert space, which transforms the delayed optimal control problem into the one without delays. Some useful basic results will be obtained.

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Problem Lifting

  • 章节

  • 发表日期：

    2025年

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  • Weijun Meng,
  • Jingtao Shi,
  • Jiongmin Yong

摘要

In this chapter, we lift the state equation from \(\mathbb {R}^n\) into an infinite dimensional Hilbert space, which transforms the delayed optimal control problem into the one without delays. Some useful basic results will be obtained.