In motion control systems, modes with more and more frequent switching are known. For systems with impacts (a certain class of impulse systems), an analog of these modes is motions with an infinite number of impact interactions occurring in a finite time. For such motions, a description in terms of smooth differential equations is proposed. Some applications of such a description are presented.

中文翻译：

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振动冲击系统的辅助滑动运动

在运动控制系统中，具有越来越频繁的切换的模式是已知的。对于有冲击的系统（特定类型的脉冲系统），这些模式的模拟是在有限的时间内发生无数次冲击相互作用的运动。对于这种运动，提出了关于光滑微分方程的描述。提出了这种描述的一些应用。