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
相关论文
共 50 条
  • [1] SYSTEM CONSIDERATIONS IN THE DESIGN OF VERY-HIGH-FREQUENCY AND SUPER-HIGH-FREQUENCY COMMUNICATION CIRCUITS
    FUBINI, E
    PROCEEDINGS OF THE INSTITUTE OF RADIO ENGINEERS, 1947, 35 (02): : 174 - 174
  • [2] 2-FREQUENCY ALMOST PERIODIC OSCILLATIONS IN A NONLINEAR FORCED SYSTEM WITH TIME-DELAY
    INOUE, Y
    UEDA, Y
    ELECTRICAL ENGINEERING IN JAPAN, 1976, 96 (05) : 9 - 16
  • [3] A thermal origin for super-high-frequency marsquakes
    Zhang, Lei
    Zhang, Jinhai
    Mitchell, Ross N.
    Cao, Peng
    Liu, Jihang
    ICARUS, 2023, 390
  • [4] Super-High-Frequency SAW Resonators on AlN/Diamond
    Rodriguez-Madrid, J. G.
    Iriarte, G. F.
    Pedros, J.
    Williams, O. A.
    Brink, D.
    Calle, F.
    IEEE ELECTRON DEVICE LETTERS, 2012, 33 (04) : 495 - 497
  • [5] FORCED-OSCILLATIONS IN A NONLINEAR-SYSTEM WITH TIME-DELAY
    UYEDA, Y
    INOUYE, Y
    ELECTRICAL ENGINEERING IN JAPAN, 1975, 95 (03) : 34 - 42
  • [6] Super-high-frequency study of bialogically active compounds
    Azarko, II
    Karpovich, IA
    Kukulianskaja, TA
    Kurchenko, VP
    Novikov, DA
    Popok, VN
    Jankovskij, ON
    11TH INTERNATIONAL CONFERENCE MICROWAVE & TELECOMMUNICATION TECHNOLOGY, CONFERENCE PROCEEDINGS, 2001, : 95 - 96
  • [7] GASEOUS DISCHARGE SUPER-HIGH-FREQUENCY NOISE SOURCES
    JOHNSON, H
    DEREMER, KR
    PROCEEDINGS OF THE INSTITUTE OF RADIO ENGINEERS, 1951, 39 (08): : 908 - 914
  • [8] BURSTING OSCILLATIONS FROM A HOMOCLINIC TANGENCY IN A TIME-DELAY SYSTEM
    DESTEXHE, A
    GASPARD, P
    PHYSICS LETTERS A, 1993, 173 (4-5) : 386 - 391
  • [9] Biosensor for the detection of bacteriophages based on a super-high-frequency resonator
    O. I. Guliy
    B. D. Zaitsev
    A. V. Smirnov
    O. A. Karavaeva
    I. A. Borodina
    Applied Biochemistry and Microbiology, 2017, 53 : 725 - 732
  • [10] STABILIZATION FOR TIME-DELAY, DISCONTINUOUS AND UNCERTAIN SYSTEMS
    Huang, Jun
    Han, Zhengzhi
    Liu, Leipo
    Cai, Xiushan
    JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS, 2011, 20 (06) : 1095 - 1106
12345