论文标题
时间最佳控件的切换属性，用于由恒定矩阵耦合的热方程系统
Switching properties of time optimal controls for systems of heat equations coupled by constant matrices
论文作者
论文摘要
本文研究了由一对恒定矩阵耦合的热方程系统的时间最佳控制问题。控制约束是球类型的，而目标是状态空间的起源。我们获得了一个固定长度上每个间隔上最佳控制的开关点的上限。另外，我们证明在每个切换点，最佳控制从一个方向跳到反向方向。
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.
