English

The turnpike property in the maximum hands-off control

Optimization and Control 2020-05-01 v1

Abstract

This paper presents analyses for the maximum hands-off control using the geometric methods developed for the theory of turnpike in optimal control. First, a sufficient condition is proved for the existence of the maximum hands-off control for linear time-invariant systems with arbitrarily fixed initial and terminal points using the relation with L1L^1 optimal control. Next, a sufficient condition is derived for the maximum hands-off control to have the turnpike property, which may be useful for approximate design of the control.

Keywords

Cite

@article{arxiv.2004.14575,
  title  = {The turnpike property in the maximum hands-off control},
  author = {Noboru Sakamoto and Masaaki Nagahara},
  journal= {arXiv preprint arXiv:2004.14575},
  year   = {2020}
}

Comments

Submitted for IEEE Conference on Decision and Control 2020

R2 v1 2026-06-23T15:12:11.341Z