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<p>The aim of this paper is to study an optimal control problem for a bilinear abstract system with missing data. Our idea consists to construct an iterative sequence to transform the original problem into a sequence of linear problem. Under some hypothesis, we prove the convergence of linearised problem to the bilinear problem. These may also to obtain the optimality system for the original problem. The effectiveness of our approach will be illustrated by a simple application.</p>

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Optimal control of a bilinear distributed system with incomplete data

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年11月3日

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  • Fatma Achab,
  • Abdelhak Hafdallah,
  • Abdelhamid Ayadi,
  • Imad Rezzoug

摘要

The aim of this paper is to study an optimal control problem for a bilinear abstract system with missing data. Our idea consists to construct an iterative sequence to transform the original problem into a sequence of linear problem. Under some hypothesis, we prove the convergence of linearised problem to the bilinear problem. These may also to obtain the optimality system for the original problem. The effectiveness of our approach will be illustrated by a simple application.