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Abstract <p> In a linear optimal-time control problem with an autonomous or nonautonomous system,we study the sufficiency of the conditions of the maximum principle and the uniqueness ofan optimal control. New conditions are obtained that guarantee the sufficiency of the maximumprinciple in terms of the geometry of the reachability and control sets. Examples showing thesharpness of the results are considered.</p>

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Maximum Principle in the Linear Optimal-Time Control Problem

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • A. V. Arutyunov,
  • M. V. Balashov

摘要

Abstract

In a linear optimal-time control problem with an autonomous or nonautonomous system,we study the sufficiency of the conditions of the maximum principle and the uniqueness ofan optimal control. New conditions are obtained that guarantee the sufficiency of the maximumprinciple in terms of the geometry of the reachability and control sets. Examples showing thesharpness of the results are considered.