Asymptotical Synchronization of Chaotic Lur’e Systems Under Time-Varying Sampling

Yuan-Qing Wu; Hongye Su; Zheng-Guang Wu

doi:10.1007/s00034-013-9665-5

Asymptotical Synchronization of Chaotic Lur’e Systems Under Time-Varying Sampling

Circuits Systems and Signal Processing ◽

10.1007/s00034-013-9665-5 ◽

2013 ◽

Vol 33 (3) ◽

pp. 699-712 ◽

Cited By ~ 25

Author(s):

Yuan-Qing Wu ◽

Hongye Su ◽

Zheng-Guang Wu

Keyword(s):

Time Varying ◽

Lur’E Systems ◽

Chaotic Lur’E Systems

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Constrained predictive synchronization of discrete-time chaotic Lur’e systems with time-varying delayed feedback control

Nonlinear Dynamics ◽

10.1007/s11071-012-0697-3 ◽

2012 ◽

Vol 72 (1-2) ◽

pp. 129-140 ◽

Cited By ~ 13

Author(s):

O. M. Kwon ◽

J. W. Son ◽

S. M. Lee

Keyword(s):

Feedback Control ◽

Discrete Time ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Time Varying ◽

Lur’E Systems ◽

Chaotic Lur’E Systems

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Novel Synchronization Criteria of Chaotic Lur'e Systems With Time-varying Delayed Feedback PD Control

2020 39th Chinese Control Conference (CCC) ◽

10.23919/ccc50068.2020.9188687 ◽

2020 ◽

Author(s):

Run-Zhe Tao ◽

Ying Zhang ◽

Lei-Chao Pang ◽

Xing-Chen Shangguan ◽

Dan-Yun Li

Keyword(s):

Delayed Feedback ◽

Time Varying ◽

Pd Control ◽

Lur’E Systems ◽

Chaotic Lur’E Systems

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Exponential synchronization of chaotic Lur'e systems with time-varying delay via sampled-data control

Chinese Physics B ◽

10.1088/1674-1056/23/6/060504 ◽

2014 ◽

Vol 23 (6) ◽

pp. 060504 ◽

Cited By ~ 10

Author(s):

R. Rakkiyappan ◽

R. Sivasamy ◽

S. Lakshmanan

Keyword(s):

Exponential Synchronization ◽

Time Varying ◽

Sampled Data ◽

Lur’E Systems ◽

Time Varying Delay ◽

Data Control ◽

Chaotic Lur’E Systems ◽

Sampled Data Control ◽

Varying Delay

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Adaptive Stabilization and Synchronization for Chaotic Lur'e Systems With Time-Varying Delay

IEEE Transactions on Circuits and Systems I Regular Papers ◽

10.1109/tcsi.2008.916462 ◽

2008 ◽

Vol 55 (5) ◽

pp. 1347-1356 ◽

Cited By ~ 112

Author(s):

Jianquan Lu ◽

Jinde Cao ◽

D.W.C. Ho

Keyword(s):

Time Varying ◽

Adaptive Stabilization ◽

Lur’E Systems ◽

Time Varying Delay ◽

Chaotic Lur’E Systems ◽

Varying Delay

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New Master-Slave Synchronization Criteria of Chaotic Lur’e Systems with Time-Varying-Delay Feedback Control

Mathematical and Computational Approaches in Advancing Modern Science and Engineering ◽

10.1007/978-3-319-30379-6_65 ◽

2016 ◽

pp. 725-736 ◽

Cited By ~ 2

Author(s):

Kaibo Shi ◽

Xinzhi Liu ◽

Hong Zhu ◽

Shouming Zhong

Keyword(s):

Feedback Control ◽

Time Varying ◽

Lur’E Systems ◽

Time Varying Delay ◽

Chaotic Lur’E Systems ◽

Delay Feedback Control ◽

Varying Delay

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Novel Delay-Dependent H∞ Synchronization of Chaotic Lur'e Systems with Time-Varying Delays Based on Sampled-Data Control

2018 5th International Conference on Information, Cybernetics, and Computational Social Systems (ICCSS) ◽

10.1109/iccss.2018.8572473 ◽

2018 ◽

Author(s):

Chao Ge ◽

Bingfang Wang ◽

Yue Ge ◽

Lei Wang ◽

Te Meng ◽

...

Keyword(s):

Time Varying ◽

Sampled Data ◽

Lur’E Systems ◽

Data Control ◽

Chaotic Lur’E Systems ◽

Sampled Data Control ◽

Delay Dependent

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Event-triggered sampling control for exponential synchronization of chaotic Lur’e systems with time-varying communication delays

Nonlinear Dynamics ◽

10.1007/s11071-017-3918-y ◽

2017 ◽

Vol 91 (2) ◽

pp. 905-921 ◽

Cited By ~ 11

Author(s):

Deqiang Zeng ◽

Kai-Teng Wu ◽

Yajuan Liu ◽

Ruimei Zhang ◽

Shouming Zhong

Keyword(s):

Exponential Synchronization ◽

Time Varying ◽

Communication Delays ◽

Lur’E Systems ◽

Chaotic Lur’E Systems ◽

Event Triggered

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Exponential synchronization of stochastic impulsive perturbed chaotic Lur'e systems with time-varying delay and parametric uncertainty

Chinese Physics B ◽

10.1088/1674-1056/17/12/013 ◽

2008 ◽

Vol 17 (12) ◽

pp. 4407-4417 ◽

Cited By ~ 41

Author(s):

Ma Tie-Dong ◽

Zhang Hua-Guang ◽

Fu Jie

Keyword(s):

Parametric Uncertainty ◽

Exponential Synchronization ◽

Time Varying ◽

Lur’E Systems ◽

Time Varying Delay ◽

Chaotic Lur’E Systems ◽

Varying Delay

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Novel delay-dependent master-slave synchronization criteria of chaotic Lur’e systems with time-varying-delay feedback control

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.01.062 ◽

2016 ◽

Vol 282 ◽

pp. 137-154 ◽

Cited By ~ 22

Author(s):

Kaibo Shi ◽

Xinzhi Liu ◽

Hong Zhu ◽

Shouming Zhong ◽

Yong Zeng ◽

...

Keyword(s):

Feedback Control ◽

Time Varying ◽

Lur’E Systems ◽

Time Varying Delay ◽

Chaotic Lur’E Systems ◽

Delay Feedback Control ◽

Delay Dependent ◽

Varying Delay

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A Global Synchronization Theorem for a Class of Chaotic Systems

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127498001066 ◽

1998 ◽

Vol 08 (06) ◽

pp. 1363-1369 ◽

Cited By ~ 5

Author(s):

Xiao Fan Wang ◽

Zhi Quan Wang

Keyword(s):

Chaotic Systems ◽

Drive System ◽

Chaotic Oscillator ◽

Error Feedback ◽

Global Synchronization ◽

Lur’E Systems ◽

State Variable ◽

Chaotic Lur’E Systems ◽

Driving Signal

This Letter proposes a new synchronization theorem for a subclass of chaotic Lur'e systems. We take a specific state variable of the drive system as the driving signal. We prove that globally synchronization can be attained via the simple linear error feedback. The approach is illustrated using Chua's chaotic oscillator and a hyperchaotic oscillator.

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