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<p>This paper addresses feedback stabilization for a class of distributed delay systems in Hilbert space. The approach is based on a decomposition of the state space that utilizes the system’s spectral properties. Sufficient conditions for exponential and strong stabilization are established. Furthermore, an explicit optimal decay rate estimate is obtained. A necessary condition for strong stabilization is provided. Finally, the theoretical results are illustrated with numerical examples and simulations.</p>

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Feedback stabilization for a class of distributed delay systems via a decomposed approach

  • 期刊论文

  • 发表日期：

    2026年5月20日

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  • Azzeddine Tsouli,
  • Abdelali Chaib,
  • Ahmed Delbouh

摘要

This paper addresses feedback stabilization for a class of distributed delay systems in Hilbert space. The approach is based on a decomposition of the state space that utilizes the system’s spectral properties. Sufficient conditions for exponential and strong stabilization are established. Furthermore, an explicit optimal decay rate estimate is obtained. A necessary condition for strong stabilization is provided. Finally, the theoretical results are illustrated with numerical examples and simulations.