Global exponential synchronization between Lü system and Chen system with unknown parameters and channel time-delay

doi:10.1088/1674-1056/20/5/050511

中国物理B ›› 2011, Vol. 20 ›› Issue (5): 50511-050511.doi: 10.1088/1674-1056/20/5/050511

Global exponential synchronization between Lü system and Chen system with unknown parameters and channel time-delay

马铁东¹, 浮洁²

(1)College of Automation, Chongqing University, Chongqing 400044, China; (2)Key Laboratory of Optoelectronic Technology and System of Ministry of Education, College of Optoelectronic Engineering, Chongqing University, Chongqing 400044, China

收稿日期:2010-06-01 修回日期:2010-12-30 出版日期:2011-05-15 发布日期:2011-05-15
基金资助:
Project supported by the Fundamental Research Funds for the Central Universities (Grant No. CDJZR10 17 00 02).

Global exponential synchronization between Lü system and Chen system with unknown parameters and channel time-delay

Ma Tie-Dong (马铁东)^a, Fu Jie (浮洁)^b

^a College of Automation, Chongqing University, Chongqing 400044, China; ^b Key Laboratory of Optoelectronic Technology and System of Ministry of Education, College of Optoelectronic Engineering, Chongqing University, Chongqing 400044, China

Received:2010-06-01 Revised:2010-12-30 Online:2011-05-15 Published:2011-05-15
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities (Grant No. CDJZR10 17 00 02).

摘要/Abstract

摘要： This paper proposes a nonlinear feedback control method to realize global exponential synchronization with channel time-delay between the Lü system and Chen system, which are regarded as the drive system and the response system respectively. Some effective observers are produced to identify the unknown parameters of the Lü system. Based on the Lyapunov stability theory and linear matrix inequality technique, some sufficient conditions of global exponential synchronization of the two chaotic systems are derived. Simulation results show the effectiveness and feasibility of the proposed controller.

Abstract: This paper proposes a nonlinear feedback control method to realize global exponential synchronization with channel time-delay between the Lü system and Chen system, which are regarded as the drive system and the response system respectively. Some effective observers are produced to identify the unknown parameters of the Lü system. Based on the Lyapunov stability theory and linear matrix inequality technique, some sufficient conditions of global exponential synchronization of the two chaotic systems are derived. Simulation results show the effectiveness and feasibility of the proposed controller.

Key words: global exponential synchronization, unknown parameters, channel time-delay, Lyapunov stability theory

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

马铁东, 浮洁. Global exponential synchronization between Lü system and Chen system with unknown parameters and channel time-delay[J]. 中国物理B, 2011, 20(5): 50511-050511.

Ma Tie-Dong (马铁东), Fu Jie (浮洁). Global exponential synchronization between Lü system and Chen system with unknown parameters and channel time-delay[J]. Chin. Phys. B, 2011, 20(5): 50511-050511.

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Global exponential synchronization between Lü system and Chen system with unknown parameters and channel time-delay

Global exponential synchronization between Lü system and Chen system with unknown parameters and channel time-delay

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