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<p>In this work, we study the feedback stabilization for a class of partial functional differential equations with delay. We present sufficient conditions for the strong stabilization of a delayed nonlinear system with an explicit estimate decay rate. An eplicit family of feedback controls is given and characterized using a minimization problem. Applications are provided to confirm the findings of this work together with numerical simulations.</p>

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Polynomial stability and optimal control for some partial functional differential equations with delay

  • 期刊论文

  • 发表日期：

    2026年4月29日

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  • Soufiane Boumasmoud,
  • Khalil Ezzinbi

摘要

In this work, we study the feedback stabilization for a class of partial functional differential equations with delay. We present sufficient conditions for the strong stabilization of a delayed nonlinear system with an explicit estimate decay rate. An eplicit family of feedback controls is given and characterized using a minimization problem. Applications are provided to confirm the findings of this work together with numerical simulations.