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<p>The present work is mainly devoted to the investigation of the exponential dichotomy of retarded perturbed boundary control systems with dynamic boundary conditions. Moreover, the well-posedness of these systems is established using the feedback theory of infinite-dimensional regular linear systems. Furthermore, we study the robustness of the exponential dichotomy of their solutions. Finally, the results are applied to a coupled system consisting of an ordinary differential equation and a transport partial differential equation.</p>

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On the Asymptotic Behavior of Retarded Boundary Control Systems with Dynamic Boundary Conditions: Semigroup Approach

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月1日

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  • Marieme Lasri,
  • Christian Budde

摘要

The present work is mainly devoted to the investigation of the exponential dichotomy of retarded perturbed boundary control systems with dynamic boundary conditions. Moreover, the well-posedness of these systems is established using the feedback theory of infinite-dimensional regular linear systems. Furthermore, we study the robustness of the exponential dichotomy of their solutions. Finally, the results are applied to a coupled system consisting of an ordinary differential equation and a transport partial differential equation.