scholarly journals Improving the efficiency of time-delayed feedback control of chaos through linear invertible transform

2005 ◽  
Vol 54 (7) ◽  
pp. 3019
Author(s):  
Zhang Xiao-Ming ◽  
Peng Jian-Hua ◽  
Zhang Ru-Yuan
Author(s):  
Kestutis Pyragas

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.


2007 ◽  
Vol 56 (11) ◽  
pp. 6275
Author(s):  
Lu Wei-Guo ◽  
Zhou Luo-Wei ◽  
Luo Quan-Ming ◽  
Du Xiong

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