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| A survey on delayed feedback control of chaos | |
| 引用本文： | Yuping TIAN,Jiandong ZHU,Guanrong CHEN. A survey on delayed feedback control of chaos[J]. 控制理论与应用(英文版), 2005, 3(4): 311-319. DOI: 10.1007/s11768-005-0018-1 |
| 作者姓名： | Yuping TIAN Jiandong ZHU Guanrong CHEN |
| 作者单位： | [1]Department of Automatic Control, Southeast University, Nanjing Jiangsu 210096, China [2]School of Mathematics ,and Computer Science, Nanjing Normal University, Nanjing Jiansu China [3]Department of Electronic Engineering, City University of Hong Kong,China |
| 基金项目： | This work was supported by the National Natural Science Foundation of China （ No. 60425308）, the Doctoral Research Foundation of the Educatiotml Ministry of China （ No. 20040286004）, 0rid Tianyoan Foundation for Mathematics of china （ No. 10526025 ）. |
| 摘 要： | This paper introduces the basic idea and provides the mathematical formulation of the delayed feedback control （DFC） methodology, which has been widely used in chaos control. Stability analysis including the well-known odd number linfitation of the DFC is reviewed. Some new developments in characterizing the limitation of the DFC are presented. Various modified DFC methods, which are developed in order to overcome the odd number limitation, are also described. Finally, some open problems in this research field are discussed. |
| 关 键 词： | 时滞系统 反馈控制 无序控制 稳定性 奇数局限 |
| 收稿时间： | 2005-10-31 |
A survey on delayed feedback control of chaos |
|
| Yuping TIAN,Jiandong ZHU,Guanrong CHEN. A survey on delayed feedback control of chaos[J]. Journal of Control Theory and Applications, 2005, 3(4): 311-319. DOI: 10.1007/s11768-005-0018-1 | |
| Authors: | Yuping TIAN Jiandong ZHU Guanrong CHEN |
| Affiliation: | 1. Department of Automatic Control,Southeast University, Nanjing Jiangsu 210096, China 2. School of Mathematics and Computer Science, Nanjing Normal University, Nanjing Jiangsu China 3. Department of Electronic Engineering, City University of Hong Kong, China |
| Abstract: | This paper introduces the basic idea and provides the mathematical formulation of the delayed feedback control (DFC) methodology, which has been widely used in chaos control. Stability analysis including the well_known odd number limitation of the DFC is reviewed. Some new developments in characterizing the limitation of the DFC are presented. Various modified DFC methods, which are developed in order to overcome the odd number limitation, are also described. Finally, some open problems in this research field are discussed. |
| Keywords: | Delayed feedback control Chaos control Stability Odd number limitation Stabilization |
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