Super-high-frequency oscillations in a discontinuous dynamic system with time delay |
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Authors: | Eugenii Shustin |
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Institution: | (1) School of Mathematical Sciences, Tel Aviv University, 69978 Ramat Aviv, Tel Aviv, Israel |
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Abstract: | We study oscillations in the discontinuous dynamic system with time delay
. This is a typical model of relay feedback with delay. It is known that stable modes in this system have a bounded oscillation
frequency. Here we consider transient processes and obtain the following result: under some restrictions ofF, the average oscillation frequency of any solution becomes finite after a period of time, i.e. super-high-frequency oscillations
(with infinite frequency) exist only in a finite time interval. Moreover, we give an effective upper bound on the length of
this interval. |
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Keywords: | |
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