A survey on delayed feedback control of chaos

2005 ◽  
Vol 3 (4) ◽  
pp. 311-319 ◽  
Author(s):  
Yuping Tian ◽  
Jiandong Zhu ◽  
Guanrong Chen
Keyword(s):  
Feedback Control ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Control Of Chaos

Delayed feedback control of chaos by self-adapted delay time

1995 ◽  
Vol 198 (5-6) ◽  
pp. 433-436 ◽  
Author(s):  
A. Kittel ◽  
J. Parisi ◽  
K. Pyragas
Keyword(s):  
Feedback Control ◽  
Delay Time ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Control Of Chaos

Extended delayed feedback control of chaos

2007 ◽  
Vol 41 (1) ◽  
pp. 39-44
Author(s):  
M. V. Cherenkov ◽  
E. M. Kol’tsova ◽  
L. S. Gordeev
Keyword(s):  
Feedback Control ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Control Of Chaos

Delayed feedback control of chaos

2006 ◽  
Vol 364 (1846) ◽  
pp. 2309-2334 ◽  
Author(s):  
Kestutis Pyragas
Keyword(s):  
Feedback Control ◽  
Feedback Loop ◽  
Theoretical Models ◽  
Practical Method ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Unstable Periodic Orbits ◽  
Control Of Chaos ◽  
Current State ◽  
Time Delayed Feedback

Time-delayed feedback control is well known as a practical method for stabilizing unstable periodic orbits embedded in chaotic attractors. The method is based on applying feedback perturbation proportional to the deviation of the current state of the system from its state one period in the past, so that the control signal vanishes when the stabilization of the target orbit is attained. A brief review on experimental implementations, applications for theoretical models and most important modifications of the method is presented. Recent advancements in the theory, as well as an idea of using an unstable degree of freedom in a feedback loop to avoid a well-known topological limitation of the method, are described in detail.

Sign in / Sign up

Export Citation Format

Share Document