Switching properties of time optimal controls for systems of heat equations coupled by constant matrices

2020/07/28 by Qin, Shulin, Wang, Gengsheng, Yu, Huaiqiang · 1 citation
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2007.13948

Abstract

This paper studies the time optimal control problem for systems of heat equations coupled by a pair of constant matrices. The control constraint is of the ball-type, while the target is the origin of the state space. We obtain an upper bound for the number of switching points of the optimal control over each interval with a fixed length. Also, we prove that at each switching point, the optimal control jump from one direction to the reverse direction.

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• A bang-bang solution with infinitely many switching points for a parabolic boundary control problem with terminal observation

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