Time-delay feedback control in a delayed dynamical chaos system and its applications

doi:10.1088/1674-1056/20/1/010207

中国物理B ›› 2011, Vol. 20 ›› Issue (1): 10207-010207.doi: 10.1088/1674-1056/20/1/010207

Time-delay feedback control in a delayed dynamical chaos system and its applications

叶志勇, 杨珖, 邓存兵

School of Mathematics and Physics, Chongqing University of Technology, Chongqing 400054, China

收稿日期:2010-01-26 修回日期:2010-09-02 出版日期:2011-01-15 发布日期:2011-01-15
基金资助:
Project supported by the Natural Science Foundation of Chongqing City, China (Grant No. 2005BB8085) and the Chongqing Municipal Education Commission Project, China (Grant No. KJ080622).

Time-delay feedback control in a delayed dynamical chaos system and its applications

Ye Zhi-Yong(叶志勇), Yang Guang(杨珖)^†,and Deng Cun-Bing(邓存兵)

School of Mathematics and Physics, Chongqing University of Technology, Chongqing 400054, China

Received:2010-01-26 Revised:2010-09-02 Online:2011-01-15 Published:2011-01-15
Supported by:
Project supported by the Natural Science Foundation of Chongqing City, China (Grant No. 2005BB8085) and the Chongqing Municipal Education Commission Project, China (Grant No. KJ080622).

摘要/Abstract

摘要： The feedback control of a delayed dynamical system, which also includes various chaotic systems with time delays, is investigated. On the basis of stability analysis of a nonautonomous system with delays, some simple yet less conservative criteria are obtained for feedback control in a delayed dynamical system. Finally, the theoretical result is applied to a typical class of chaotic Lorenz system and Chua circuit with delays. Numerical simulations are also given to verify the theoretical results.

Abstract: The feedback control of a delayed dynamical system, which also includes various chaotic systems with time delays, is investigated. On the basis of stability analysis of a nonautonomous system with delays, some simple yet less conservative criteria are obtained for feedback control in a delayed dynamical system. Finally, the theoretical result is applied to a typical class of chaotic Lorenz system and Chua circuit with delays. Numerical simulations are also given to verify the theoretical results.

Key words: chaotic system, feedback control, delayed dynamical system, butterfly effect

中图分类号: (Delay and functional equations)

02.30.Ks

02.30.Yy (Control theory) 05.45.Gg (Control of chaos, applications of chaos)

叶志勇, 杨珖, 邓存兵. Time-delay feedback control in a delayed dynamical chaos system and its applications[J]. 中国物理B, 2011, 20(1): 10207-010207.

Ye Zhi-Yong(叶志勇), Yang Guang(杨珖),and Deng Cun-Bing(邓存兵) . Time-delay feedback control in a delayed dynamical chaos system and its applications[J]. Chin. Phys. B, 2011, 20(1): 10207-010207.

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Time-delay feedback control in a delayed dynamical chaos system and its applications

Time-delay feedback control in a delayed dynamical chaos system and its applications

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