Abstract

A new class of models of hysteretic converters, generalizing the classical backlash definition to the case where the curves defining it are non-deterministic and have a random distribution, is proposed. In this case, the output of the stochastic converter is defined as a random process. The correctness of the definition of the corresponding converter in terms of a special limit construction is proved. Using such a definition, we can determine the output at an arbitrary continuous input. The properties of the introduced converters are investigated and explicit analytic relations determining the first and second moment (as functions of the corresponding parameters) are presented together with illustrative examples.

中文翻译：

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带有随机参数的迟滞转换器

摘要

提出了一种新型的磁滞变矩器模型，将经典的反冲定义归纳为定义其不确定性且具有随机分布的曲线的情况。在这种情况下，随机转换器的输出定义为随机过程。证明了通过特殊的极限构造定义相应转换器的正确性。使用这样的定义，我们可以确定任意连续输入的输出。对引入的转换器的特性进行了研究，并给出了确定第一时刻和第二时刻（作为相应参数的函数）的明确解析关系以及说明性示例。