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arXiv · 2203.08766

Solving the time-optimal control problem for nonlinear non-autonomous linearizable systems

Katerina V. Sklyar·Svetlana Yu. Ignatovich
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Abstract

We present the conditions under which the time-optimal control problem for a nonlinear non-autonomous linearizable system can be solved by the method of successive approximations, at each step of which a power Markov moment min-problem is solved. The proposed method can be efficiently implemented by use of symbolic and numerical calculations.

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Katerina V. Sklyar, Svetlana Yu. Ignatovich. 2022-03-16. Solving the time-optimal control problem for nonlinear non-autonomous linearizable systems. https://arxiv.org/abs/2203.08766

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