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<p>The paper focuses on a minimal time control problem governed by a semilinear evolution equation with impulse control. We establish the bang-bang property and uniqueness of optimal controls and obtain the continuity of the minimal time function. Additionally, we show the continuous dependence of optimal controls on this function. Two examples are also discussed to illustrate our main conclusions.</p>

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Minimal Time Impulse Control For Semilinear Evolution Equations With Applications

  • 期刊论文

  • 发表日期：

    2025年6月16日

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  • Guangxuan Lin,
  • Biao Zeng

摘要

The paper focuses on a minimal time control problem governed by a semilinear evolution equation with impulse control. We establish the bang-bang property and uniqueness of optimal controls and obtain the continuity of the minimal time function. Additionally, we show the continuous dependence of optimal controls on this function. Two examples are also discussed to illustrate our main conclusions.