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<p>The classical problem of eigenvalue spectrum assignment by linear static output feedback is considered in a generalized formulation. The coefficients form block matrices. It is required to construct a feedback that assigns given block matrix coefficients of the characteristic matrix polynomial to the closed-loop system. Sufficient conditions are obtained for resolving the problem of arbitrary matrix coefficient assignment for the characteristic matrix polynomial by linear static output feedback. It is proved that in particular cases, when the system has block scalar matrix coefficients, these conditions can be weakened. Bibliography: 16 titles.</p>

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PROBLEM OF MATRIX COEFFICIENT ASSIGNMENT FOR BLOCK MATRIX LINEAR CONTROL SYSTEMS

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Vasilii Zaitsev,
  • Inna Kim

摘要

The classical problem of eigenvalue spectrum assignment by linear static output feedback is considered in a generalized formulation. The coefficients form block matrices. It is required to construct a feedback that assigns given block matrix coefficients of the characteristic matrix polynomial to the closed-loop system. Sufficient conditions are obtained for resolving the problem of arbitrary matrix coefficient assignment for the characteristic matrix polynomial by linear static output feedback. It is proved that in particular cases, when the system has block scalar matrix coefficients, these conditions can be weakened. Bibliography: 16 titles.