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<p>In this paper, we consider the problem of optimal boundary control for a distributed inhomogeneous oscillatory system described by a one-dimensional wave equation with piecewise constant characteristics under the condition that the wave propagation time through each homogeneous domain is the same. The quality criterion is the boundary energy integral defined over the whole time interval of the oscillatory process. A constructive approach is proposed for constructing optimal boundary control actions that transform oscillations from the initial state to the final state within a given time interval.</p>

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OPTIMAL BOUNDARY CONTROL OF A DISTRIBUTED INHOMOGENEOUS OSCILLATORY SYSTEM WITH DISPLACEMENTS AT BOTH ENDS AND MINIMIZING THE BOUNDARY ENERGY INTEGRAL

  • 期刊论文

  • 发表日期：

    2026年8月4日

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  • V. R. Barseghyan,
  • S. V. Solodusha,
  • E. V. Markova

摘要

In this paper, we consider the problem of optimal boundary control for a distributed inhomogeneous oscillatory system described by a one-dimensional wave equation with piecewise constant characteristics under the condition that the wave propagation time through each homogeneous domain is the same. The quality criterion is the boundary energy integral defined over the whole time interval of the oscillatory process. A constructive approach is proposed for constructing optimal boundary control actions that transform oscillations from the initial state to the final state within a given time interval.