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<p>We demonstrate a new method to prove the exact boundary controllability for the wave equation on an interval. The method uses a dynamical argument to demonstrate the shape and the velocity controllability, thereby solving their associated moment problems. This permits solving the moment problem related to exact controllability. The method is illustrated by numerical examples.</p>

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A new method for solving the exact control problem for the one-dimensional wave equation

  • 期刊论文

  • 发表日期：

    2025年1月4日

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  • G. M. Alam,
  • S. A. Avdonin,
  • A. E. Choque-Rivero,
  • K. B. Nurtazina

摘要

We demonstrate a new method to prove the exact boundary controllability for the wave equation on an interval. The method uses a dynamical argument to demonstrate the shape and the velocity controllability, thereby solving their associated moment problems. This permits solving the moment problem related to exact controllability. The method is illustrated by numerical examples.