常矩阵耦合的heat equations系统时间最优控制的切换性质
Switching properties of time optimal controls for systems of heat equations coupled by constant matrices
摘要：
本文研究由一对常数矩阵耦合的热方程组的时间最优控制问题。控制约束是球型的，而目标是状态空间的原点。我们得到了一个上界的切换点的数量的最优控制在每个区间具有固定的长度。证明了在每个切换点上，最优控制都从一个方向跳到相反的方向。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
