SUPER-HIGH-FREQUENCY OSCILLATIONS IN A DISCONTINUOUS DYNAMIC SYSTEM WITH TIME-DELAY

被引：10
|
作者：
SHUSTIN, E
机构：
[1] School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv
来源：
ISRAEL JOURNAL OF MATHEMATICS | 1995年 / 90卷 / 1-3期
关键词：
D O I：
10.1007/BF02783213
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study oscillations in the discontinuous dynamic system with time delay x(t) = -sign x(t-1) + F(x(t), t), t greater than or equal to 0. This is a typical model of relay feedbacek 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 on F, 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.
引用
收藏
页码：199 / 219
页数：21
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