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<p>In this article, we investigate certain theoretical aspects of the hierarchical controllability problem in one-dimensional wave equations within a moving domain using Stackelberg strategy. The controls are applied along a portion of the boundary and establish an equilibrium strategy among them, considering a leader control and a follower. We consider a linear wave equation.</p>

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Theoretical analysis of a multi-objective controllability problem for the linear wave equation on a non-cylindrical domain

  • 期刊论文

  • 发表日期：

    2025年5月8日

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  • Pedro Paulo A. Oliveira,
  • Isaías P. de Jesus,
  • Gilcenio R. de Sousa-Neto

摘要

In this article, we investigate certain theoretical aspects of the hierarchical controllability problem in one-dimensional wave equations within a moving domain using Stackelberg strategy. The controls are applied along a portion of the boundary and establish an equilibrium strategy among them, considering a leader control and a follower. We consider a linear wave equation.