<p>We analyze the relationship between the time-optimal control problem for linear and nonlinear (affine in control) systems and the classical Markov moment problem. The paper surveys results on solving linear time-optimal control problems using ideas from classical moment theory and discusses the extension of this approach to nonlinear systems.</p>

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Time Optimality and the Markov Moment Problem: A General Framework for Linear and Nonlinear Cases

  • G. M. Sklyar,
  • S. Yu. Ignatovich

摘要

We analyze the relationship between the time-optimal control problem for linear and nonlinear (affine in control) systems and the classical Markov moment problem. The paper surveys results on solving linear time-optimal control problems using ideas from classical moment theory and discusses the extension of this approach to nonlinear systems.