Stochastic averaging of quasi-integrable Hamiltonian systems with delayed feedback control

Z.H. Liu; W.Q. Zhu

doi:10.1016/j.jsv.2006.07.007

Stochastic averaging of quasi-integrable Hamiltonian systems with delayed feedback control

Journal of Sound and Vibration ◽

10.1016/j.jsv.2006.07.007 ◽

2007 ◽

Vol 299 (1-2) ◽

pp. 178-195 ◽

Cited By ~ 49

Author(s):

Z.H. Liu ◽

W.Q. Zhu

Keyword(s):

Feedback Control ◽

Hamiltonian Systems ◽

Stochastic Averaging ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Integrable Hamiltonian Systems

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Stability and Response of Quasi Integrable Hamiltonian Systems with Time-Delayed Feedback Control

IUTAM Book Series - Iutam Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty ◽

10.1007/978-1-4020-6332-9_39 ◽

2007 ◽

pp. 383-392 ◽

Cited By ~ 1

Author(s):

W. Q. Zhu ◽

Z. H. Liu

Keyword(s):

Feedback Control ◽

Hamiltonian Systems ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Integrable Hamiltonian Systems ◽

Time Delayed Feedback

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Asymptotic Lyapunov stability with probability one of quasi-integrable Hamiltonian systems with delayed feedback control

Automatica ◽

10.1016/j.automatica.2007.10.038 ◽

2008 ◽

Vol 44 (7) ◽

pp. 1923-1928 ◽

Cited By ~ 20

Author(s):

Z.H. Liu ◽

W.Q. Zhu

Keyword(s):

Feedback Control ◽

Hamiltonian Systems ◽

Lyapunov Stability ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Integrable Hamiltonian Systems

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First-passage failure of quasi-integrable Hamiltonian systems under time-delayed feedback control

Journal of Sound and Vibration ◽

10.1016/j.jsv.2008.02.021 ◽

2008 ◽

Vol 315 (1-2) ◽

pp. 301-317 ◽

Cited By ~ 11

Author(s):

Z.H. Liu ◽

W.Q. Zhu

Keyword(s):

Feedback Control ◽

Hamiltonian Systems ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Integrable Hamiltonian Systems ◽

First Passage ◽

First Passage Failure ◽

Time Delayed Feedback

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Stochastic Dynamics and Optimal Control of Quasi Integrable Hamiltonian Systems with Time-delayed Feedback Control

Advances in Analysis and Control of Time-Delayed Dynamical Systems ◽

10.1142/9789814525503_0005 ◽

2013 ◽

pp. 85-162

Author(s):

Weiqiu Zhu ◽

Zhonghua Liu

Keyword(s):

Optimal Control ◽

Feedback Control ◽

Hamiltonian Systems ◽

Stochastic Dynamics ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Integrable Hamiltonian Systems ◽

Time Delayed Feedback

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Stochastic Hopf bifurcation of quasi-integrable Hamiltonian systems with multi-time-delayed feedback control and wide-band noise excitations

Nonlinear Dynamics ◽

10.1007/s11071-011-0315-9 ◽

2012 ◽

Vol 69 (3) ◽

pp. 935-947 ◽

Cited By ~ 2

Author(s):

Z. H. Liu ◽

W. Q. Zhu

Keyword(s):

Hopf Bifurcation ◽

Feedback Control ◽

Hamiltonian Systems ◽

Wide Band ◽

Delayed Feedback Control ◽

Integrable Hamiltonian Systems ◽

Band Noise ◽

Stochastic Hopf Bifurcation ◽

Wide Band Noise ◽

Time Delayed Feedback

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Stochastic Averaging of Quasi Linear Systems Subject to Multi- time-delayed Feedback Control and Wide-band Random Excitation

Journal of Vibration and Control ◽

10.1177/1077546307086892 ◽

2009 ◽

Vol 15 (8) ◽

pp. 1187-1205 ◽

Cited By ~ 4

Author(s):

X.P. Li ◽

W.Q. Zhu ◽

Z.H. Liu

Keyword(s):

Feedback Control ◽

Linear Systems ◽

Wide Band ◽

Stochastic Averaging ◽

Random Excitation ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Time Delayed Feedback

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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) ◽

Cited By ~ 79

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 ◽

And Control

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Enlarging the stable domain of controlled high-period oscillations with transient extended delayed feedback control

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2021.105788 ◽

2021 ◽

pp. 105788

Author(s):

Yuan-Guang Zheng ◽

Ying-Ying Zhang

Keyword(s):

Feedback Control ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Stable Domain

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Time-delayed feedback control of diffusion in random walkers

Physical Review E ◽

10.1103/physreve.96.012148 ◽

2017 ◽

Vol 96 (1) ◽

Cited By ~ 2

Author(s):

Hiroyasu Ando ◽

Kohta Takehara ◽

Miki U. Kobayashi

Keyword(s):

Feedback Control ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Random Walkers ◽

Time Delayed Feedback

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