In a cycling time trial, the rider needs to distribute his power output optimally to minimize the time between start and finish. Mathematically, this is an optimal control problem. Even for a straight and flat course, its solution is non-trivial and involves a singular control, which corresponds to a power that is slightly above the aerobic level. The rider must start at full anaerobic power to reach an optimal speed and maintain that speed for the rest of the course. If the course is flat but not straight, then the speed at which the rider can round the bends becomes crucial.

中文翻译：

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作为最优控制问题的个人计时赛

在自行车计时赛中，骑手需要以最佳方式分配他的动力输出，以最大限度地缩短起点和终点之间的时间。从数学上讲，这是一个最优控制问题。即使对于直线和平坦的路线，其解决方案也很重要，并且涉及单一控制，这对应于略高于有氧水平的力量。骑手必须以完全无氧动力开始，以达到最佳速度并在剩余的课程中保持该速度。如果路线是平坦的而不是直的，那么骑手绕过弯道的速度就变得至关重要。