English

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

Optimization and Control 2022-03-17 v1

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.

Keywords

Cite

@article{arxiv.2203.08766,
  title  = {Solving the time-optimal control problem for nonlinear non-autonomous linearizable systems},
  author = {Katerina V. Sklyar and Svetlana Yu. Ignatovich},
  journal= {arXiv preprint arXiv:2203.08766},
  year   = {2022}
}

Comments

11 pages, 2 figures

R2 v1 2026-06-24T10:15:58.642Z