DYNAMICS OF ADAPTIVE SYSTEMS

被引:196
作者
HUBERMAN, BA [1 ]
LUMER, E [1 ]
机构
[1] STANFORD UNIV,DEPT APPL PHYS,STANFORD,CA 94305
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS | 1990年 / 37卷 / 04期
关键词
D O I
10.1109/31.52759
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper we introduce a simple adaptive control mechanism into nonlinear systems which are capable of complicated oscillatory states and chaotic dynamics. We show that it provides efficient regulation while displaying novel behavior. Sudden perturbations in the system's parameters can degenerate into chaotic bursts with no precursors. When such bursts occur, the system first reverberates wildly and then recovers in times that are inversely proportional to the stiffness of the control. We also exhibit a general control principle which provides a quantitative relation between the maximum amplitude of a perturbation from which a system can recover, and the speed at which it does so. © 1990 IEEE
引用
收藏
页码:547 / 550
页数:4
相关论文
共 18 条
  • [1] ALMEIDA LB, 1988, NATO ASI SERIES F, V41
  • [2] ADAPTIVE SYSTEMS, LACK OF PERSISTENCY OF EXCITATION AND BURSTING PHENOMENA
    ANDERSON, BDO
    [J]. AUTOMATICA, 1985, 21 (03) : 247 - 258
  • [3] ANDERSON BDO, 1986, STABILITY ANAL ADAPT
  • [4] Huberman B.A, 1988, ECOLOGY COMPUTATION, P77
  • [5] FINITE PRECISION AND TRANSIENT-BEHAVIOR
    HUBERMAN, BA
    WOLFF, WF
    [J]. PHYSICAL REVIEW A, 1985, 32 (06): : 3768 - 3770
  • [6] HUBLER A, 1988, TUMTR3895 PREPR
  • [7] HUBLER A, 1988, TUM LR3895 PREPR
  • [8] KING R, 1983, SYNERGETICS BRAIN, P352
  • [9] MACCHI O, 1988, IEEE INT C ACOUSTICS, V3, P1503
  • [10] MAREELS IM, 1986, 25TH P IEEE C DEC CO, P1161