Systems with Non-Smooth Inputs by Jürgen Appell Nguyen Thi Hien Lyubov Petrova Irina Pryadko

Author:Jürgen Appell, Nguyen Thi Hien, Lyubov Petrova, Irina Pryadko
Language: eng
Format: epub
Publisher: De Gruyter
Published: 2021-03-22T11:31:04.360000+00:00

In the monograph [23] (see also [24]) Krasnosel’sky and Pokrovsky give the following description6 of a such a relay. For any initial state at time all continuous inputs are admissible which satisfy . The output associated to such an input is then defined in the following way. Let

and

(3.2.2)

It is not hard to see that in this description the output function changes its value precisely when the input function reaches one of the threshold values α or β; in particular, the output function is right-continuous.

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