An Analytical Treatment of the Delayed Feedback Control Algorithm

Handbook of Chaos Control ◽

10.1002/9783527622313.ch3 ◽

2008 ◽

pp. 47-71

Author(s):

Kestutis Pyragas ◽

Tatjana Pyragien ◽

Viktoras Pyragas

Keyword(s):

Feedback Control ◽

Control Algorithm ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Analytical Treatment

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An analytical treatment of the delayed feedback control algorithm at a subcritical Hopf bifurcation

Lithuanian Journal of Physics ◽

10.3952/lithjphys.45603 ◽

2005 ◽

Vol 45 (6) ◽

pp. 457-461

Author(s):

Viktoras Pyragas ◽

Kęstutis Pyragas

Keyword(s):

Hopf Bifurcation ◽

Feedback Control ◽

Control Algorithm ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Analytical Treatment ◽

Subcritical Hopf Bifurcation

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Adaptive modification of the delayed feedback control algorithm with a continuously varying time delay

Physics Letters A ◽

10.1016/j.physleta.2011.08.072 ◽

2011 ◽

Vol 375 (44) ◽

pp. 3866-3871 ◽

Author(s):

V. Pyragas ◽

K. Pyragas

Keyword(s):

Feedback Control ◽

Control Algorithm ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Adaptive Modification ◽

Varying Time Delay

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State-dependent act-and-wait time-delayed feedback control algorithm

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2019.02.018 ◽

2019 ◽

Vol 73 ◽

pp. 338-350 ◽

Author(s):

Viktoras Pyragas ◽

Kestutis Pyragas

Keyword(s):

Feedback Control ◽

Control Algorithm ◽

Wait Time ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

State Dependent ◽

Time Delayed Feedback

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Analytical treatment of delayed feedback control

Physics Letters A ◽

10.1016/s0375-9601(98)00418-6 ◽

1998 ◽

Vol 245 (3-4) ◽

pp. 253-258 ◽

Author(s):

C. Simmendinger ◽

O. Hess ◽

A. Wunderlin

Keyword(s):

Feedback Control ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Analytical Treatment

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Adaptive Delayed Feedback Control Algorithm With an Iterated Feedback Gain in the Presence of Noise

IEICE Proceeding Series ◽

10.15248/proc.1.759 ◽

2014 ◽

Vol 1 ◽

pp. 759-762

Author(s):

Viktoras Pyragas ◽

Kestutis Pyragas

Keyword(s):

Feedback Control ◽

Control Algorithm ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

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Phase-reduction-theory-based treatment of extended delayed feedback control algorithm in the presence of a small time delay mismatch

Physical Review E ◽

10.1103/physreve.86.026204 ◽

2012 ◽

Vol 86 (2) ◽

Author(s):

Viktor Novičenko ◽

Kestutis Pyragas

Keyword(s):

Feedback Control ◽

Control Algorithm ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Reduction Theory ◽

Phase Reduction ◽

Small Time Delay

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Relation between the extended time-delayed feedback control algorithm and the method of harmonic oscillators

Physical Review E ◽

10.1103/physreve.92.022925 ◽

2015 ◽

Vol 92 (2) ◽

Author(s):

Viktoras Pyragas ◽

Kestutis Pyragas

Keyword(s):

Feedback Control ◽

Control Algorithm ◽

Delayed Feedback ◽

Harmonic Oscillators ◽

Delayed Feedback Control ◽

Extended Time ◽

Time Delayed Feedback

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Delayed feedback control of the Lorenz system: An analytical treatment at a subcritical Hopf bifurcation

Physical Review E ◽

10.1103/physreve.73.036215 ◽

2006 ◽

Vol 73 (3) ◽

Author(s):

V. Pyragas ◽

K. Pyragas

Keyword(s):

Hopf Bifurcation ◽

Feedback Control ◽

Lorenz System ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Analytical Treatment ◽

Subcritical Hopf Bifurcation ◽

The Lorenz System

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Giant Improvement of Time-Delayed Feedback Control by Spatio-Temporal Filtering

Physical Review Letters ◽

10.1103/physrevlett.89.074101 ◽

2002 ◽

Vol 89 (7) ◽

Author(s):

Nilüfer Baba ◽

Andreas Amann ◽

Eckehard Schöll ◽

Wolfram Just

Keyword(s):

Feedback Control ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Temporal Filtering ◽

Spatio Temporal ◽

Time Delayed Feedback

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Bifurcation and control of a planktonic ecological system with double delays by delayed feedback control

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2021.02.038 ◽

2021 ◽

Author(s):

Zhichao Jiang ◽

Yan Zhao ◽

Xueli Bai ◽

Zexian Zhang

Keyword(s):

Feedback Control ◽

Delayed Feedback ◽

Ecological System ◽

Delayed Feedback Control ◽

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