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Mathematical Properties of Maximum Hands-off Control
Masaaki Nagahara 제어로봇시스템학회 2020 제어로봇시스템학회 국제학술대회 논문집 Vol.2020 No.10
In this article, we discuss mathematical properties of maximum hands-off control. Maximum hands-off control is the L<SUP>0</SUP> optimal control, that is the sparsest control among all feasible controls. In other words, the maximum hands-off control has the shortest time length on which the control is inactive. We show the following fundamental properties of maximum hands-off control: the equivalence theorem between L<SUP>0</SUP> and L¹ optimal controls, necessary conditions via the non-smooth maximum principle, and the existence theorem.