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<p>This paper is focused on the problem of strong and exponential stabilization for second-order semilinear systems with time delay. We introduce a suitable feedback control that ensures energy dissipation. Existence and uniqueness of closed-loop systems are demonstrated using cosine families theory, and sufficient conditions for both strong and exponential stabilization are provided. The result is applied to the stabilization of the several partial differential equation control systems with time delay.</p>

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Stabilization of semilinear vibrating systems with time delay

  • 期刊论文

  • 发表日期：

    2026年5月20日

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  • Khalil El Kazoui,
  • Hassan Ezzaki,
  • Ahmed Sani

摘要

This paper is focused on the problem of strong and exponential stabilization for second-order semilinear systems with time delay. We introduce a suitable feedback control that ensures energy dissipation. Existence and uniqueness of closed-loop systems are demonstrated using cosine families theory, and sufficient conditions for both strong and exponential stabilization are provided. The result is applied to the stabilization of the several partial differential equation control systems with time delay.