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<p><i>The paper presents an algorithm of constructing a differentiable control function, that provides finite-time transition of a system from a given initial state to the origin. The algorithm is applicable to a wide class of non-linear systems described by ordinary differential equations. A constructive sufficient Kalman-type condition that guarantees the transition is established. Bibliography: 17 titles.</i></p>

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SOLUTION OF A NON-LOCAL PROBLEM OF TERMINAL CONTROL

  • 期刊论文

  • 发表日期：

    2026年1月1日

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  • A. N. Kvitko,
  • A. S. Eremin

摘要

The paper presents an algorithm of constructing a differentiable control function, that provides finite-time transition of a system from a given initial state to the origin. The algorithm is applicable to a wide class of non-linear systems described by ordinary differential equations. A constructive sufficient Kalman-type condition that guarantees the transition is established. Bibliography: 17 titles.