Dynamical singularities in adaptive delayed-feedback control

被引：0
|
作者：
Saito, Asaki [1 ,2 ]
Konishi, Keiji [3 ]
机构：
[1] Future Univ Hakodate, Hakodate, Hokkaido 0418655, Japan
[2] Japan Sci & Technol Agcy, PRESTO, Kawaguchi, Saitama 3320012, Japan
[3] Osaka Prefecture Univ, Osaka 5998531, Japan
来源：
PHYSICAL REVIEW E | 2011年 / 84卷 / 03期
关键词：
ORBITS;
D O I：
10.1103/PhysRevE.84.031902
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We demonstrate the dynamical characteristics of adaptive delayed-feedback control systems, exploiting a discrete-time adaptive control method derived for carrying out detailed analysis. In particular, the systems exhibit singularities such as power-law decay of the distribution of transient times and almost zero finite-time Lyapunov exponents. We can explain these results by characterizing such systems as having (1) a Jacobian matrix with unity eigenvalue in the whole phase space, and (2) parameters approaching a stability boundary proven to be identical with that of (nonadaptive) delayed-feedback control.
引用
收藏
页数：7
相关论文
共 50 条
  • [21] Resonant current in coupled inertial Brownian particles with delayed-feedback control
    Gao, Tian-Fu
    Zheng, Zhi-Gang
    Chen, Jin-Can
    FRONTIERS OF PHYSICS, 2017, 12 (06)
  • [22] Chaos Control in Buck Converter Using Fuzzy Delayed-feedback Controller
    Ayati, Moosa
    Bakhtiyari, Asal
    Gohari, Atoosa
    2016 4TH INTERNATIONAL CONFERENCE ON CONTROL, INSTRUMENTATION, AND AUTOMATION (ICCIA), 2016, : 362 - 365
  • [23] Bifurcation dynamics in discrete-time delayed-feedback control systems
    Chen, GR
    Lu, JL
    Nicholas, B
    Ranganathan, SM
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (01): : 287 - 293
  • [24] Resonant current in coupled inertial Brownian particles with delayed-feedback control
    Tian-Fu Gao
    Zhi-Gang Zheng
    Jin-Can Chen
    Frontiers of Physics, 2017, 12
  • [25] Chaos Control of Boost Converter via the Fuzzy Delayed-Feedback Method
    Ayati, Moosa
    Bakhtiyari, Asal
    Gohari, Atoosa
    2016 4TH INTERNATIONAL CONFERENCE ON CONTROL, INSTRUMENTATION, AND AUTOMATION (ICCIA), 2016, : 324 - 328
  • [26] DIGITAL IMPLEMENTATION OF A NONLINEAR DELAYED-FEEDBACK SYSTEM
    AIDA, T
    OTANI, N
    DAVIS, P
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1994, 41 (03): : 238 - 242
  • [27] Stability of square oscillations in a delayed-feedback system
    Nizette, M
    PHYSICAL REVIEW E, 2004, 70 (05): : 6
  • [28] Estimation of an attraction region in one-dimensional delayed-feedback control systems
    Konishi, K
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (02): : 689 - 695
  • [29] A delayed-feedback filter with negative group delay
    Voss, Henning U.
    CHAOS, 2018, 28 (11)
  • [30] Virtual Chimera States for Delayed-Feedback Systems
    Larger, Laurent
    Penkovsky, Bogdan
    Maistrenko, Yuri
    PHYSICAL REVIEW LETTERS, 2013, 111 (05)
12345