The turnpike property in the maximum hands-off control

2020/04/30 by Sakamoto, Noboru, Nagahara, Masaaki
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2004.14575

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 L¹ 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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