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arXiv · 1911.07475

On switching properties of time optimal controls for linear ODEs

Shulin Qin·Gengsheng Wang·Huaiqiang Yu
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Abstract

In this paper, we present some properties of time optimal controls for linear ODEs with the ball-type control constraint. More precisely, for an optimal control, we build up an upper bound for the number of its switching points; show that it jumps from one direction to the reverse direction at each switching point; give its dynamic behaviour between two consecutive switching points; and study its switching directions.

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Shulin Qin, Gengsheng Wang, Huaiqiang Yu. 2019-11-18. On switching properties of time optimal controls for linear ODEs. https://arxiv.org/abs/1911.07475

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