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arXiv · 2004.14575

The turnpike property in the maximum hands-off control

Noboru Sakamoto·Masaaki Nagahara
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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 $L^1$ 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.

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Noboru Sakamoto, Masaaki Nagahara. 2020-04-30. The turnpike property in the maximum hands-off control. https://arxiv.org/abs/2004.14575

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