О распределении максимума траектории случайного блуждания с переключениями

We continue studying of the random walk introduced in [1]. The distribution of the random walk jumps changes under successive achievement regulatory boundaries. The regulation is intended to keep under control the range of trajectories. At the same time the structure of the process allows the trajectories stay some time outside the band adjustments. The paper establishes limit theorems for the distribution of the maximum possible excess of the upper regulatory barrier.