Delayed feedback control of chaos

被引：208

作者：

Pyragas, Kestutis ^{[1
]}

机构：

[1] T&T Semicond Phys Inst, LT-011088 Vilnius, Lithuania

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2006年 / 364卷 / 1846期

关键词：

dynamical system; controlling chaos; delayed feedback; time-delay autosynchronization; Pyragas method; unstable periodic orbit;

D O I：

10.1098/rsta.2006.1827

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：2309 / 2334

页数：26

共 50 条

[21] Limitation of generalized delayed feedback control [J].

Nakajima, H ;

Ueda, Y .

PHYSICA D, 1998, 111 (1-4) :143-150

[22] A NEW GENERALIZATION OF DELAYED FEEDBACK CONTROL [J].

Morgul, Omer .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (01) :365-377

[23] Intelligent Production Control with Delayed Feedback [J].

Peters, Kirstin ;

Scharff, Christian .

PPS MANAGEMENT, 2009, 14 (01) :33-36

[24] Investigation of synchronization and transition to chaos in a driven TWT delayed feedback oscillator [J].

Ryskin, N. M. ;

Guskov, D. A. ;

Titov, V. N. ;

Marchewka, C. ;

Larsen, P. B. ;

Sengele, S. ;

Booske, J. H. ;

Bhattacharjee, S. .

2006 IEEE INTERNATIONAL VACUUM ELECTRONICS CONFERENCE HELD JOINTLY WITH 2006 IEEE INTERNATIONAL VACUUM ELECTRON SOURCES, 2006, :525-526

[25] Optical dynamic chaos in gas-discharge laser with delayed feedback [J].

Akchurin, AG ;

Akchurin, GG ;

Melnikov, LA .

SARATOV FALL MEETING 2000: LASER PHYSICS AND PHOTONICS; AND SPECTROSCOPY AND MOLECULAR MODELING, 2001, 4243 :75-78

[26] CONTROLLING CHAOS IN RCL-SHUNTED JOSEPHSON JUNCTION BY DELAYED FEEDBACK [J].

Feng, Yu-Ling ;

Zhang, Xi-He ;

Jiang, Zhi-Gang ;

Shen, Ke .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2009, 23 (18) :3601-3607

[27] Delayed feedback control of Genesio chaotic system [J].

He, HY ;

Cheng, LL ;

Gao, FX ;

Li, QS .

CHEMICAL JOURNAL OF CHINESE UNIVERSITIES-CHINESE, 2006, 27 (03) :546-549

[28] Policy Control with Delayed, Aggregate, and Anonymous Feedback [J].

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Hollmen, Jaakko .

MACHINE LEARNING AND KNOWLEDGE DISCOVERY IN DATABASES-RESEARCH TRACK, PT VI, ECML PKDD 2024, 2024, 14946 :389-406

[29] Limits of time-delayed feedback control [J].

Just, W ;

Reibold, E ;

Benner, H ;

Kacperski, K ;

Fronczak, P ;

Holyst, J .

PHYSICS LETTERS A, 1999, 254 (3-4) :158-164

[30] Control of oscillators coherence by multiple delayed feedback [J].

Pawlik, Andreas H. ;

Pikovsky, Arkady .

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