Global synchronization of Chua's chaotic delay network by using linear matrix inequality

doi:10.1088/1009-1963/13/8/007

中国物理B ›› 2004, Vol. 13 ›› Issue (8): 1221-1225.doi: 10.1088/1009-1963/13/8/007

Global synchronization of Chua's chaotic delay network by using linear matrix inequality

李智¹, 施颂椒²

(1)Department of Automatic Control Engineering, Xidian University, Xi'an 710071, China; Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China; (2)Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China

收稿日期:2003-11-11 修回日期:2004-01-16 出版日期:2004-06-21 发布日期:2005-06-21
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 70371066 ), and by China Postdoctoral Science Foundation (Grant No 2003033307).

Global synchronization of Chua's chaotic delay network by using linear matrix inequality

Li Zhi (李智)^ab, Shi Song-Jiao (施颂椒)^b

^a Department of Automatic Control Engineering, Xidian University, Xi'an 710071, China; ^b Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China

Received:2003-11-11 Revised:2004-01-16 Online:2004-06-21 Published:2005-06-21
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 70371066 ), and by China Postdoctoral Science Foundation (Grant No 2003033307).

摘要/Abstract

摘要： Global synchronization of Chua's chaotic dynamical networks with coupling delays is investigated in this paper. Unlike other approaches, where only local results were obtained, the network is found to be not linearized in this paper. Instead, the global synchronization is obtained by using the linear matrix inequality theory. Moreover, some quite simple linear-state-error feedback controllers for global synchronization are derived, which can be easily constructed based on the minimum eigenvalue of the coupling matrix. A simulation of Chua's chaotic network with global coupling delays in nodes is finally given, which is used to verify the theoretical results of the proposed global synchronization scheme.

关键词: global synchronization, Chua's chaotic network, coupling delays, linear matrix inequality

Abstract: Global synchronization of Chua's chaotic dynamical networks with coupling delays is investigated in this paper. Unlike other approaches, where only local results were obtained, the network is found to be not linearized in this paper. Instead, the global synchronization is obtained by using the linear matrix inequality theory. Moreover, some quite simple linear-state-error feedback controllers for global synchronization are derived, which can be easily constructed based on the minimum eigenvalue of the coupling matrix. A simulation of Chua's chaotic network with global coupling delays in nodes is finally given, which is used to verify the theoretical results of the proposed global synchronization scheme.

Key words: global synchronization, Chua's chaotic network, coupling delays, linear matrix inequality

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Pq (Numerical simulations of chaotic systems) 02.60.Dc (Numerical linear algebra) 02.10.Yn (Matrix theory)

李智, 施颂椒. Global synchronization of Chua's chaotic delay network by using linear matrix inequality[J]. 中国物理B, 2004, 13(8): 1221-1225.

Li Zhi (李智), Shi Song-Jiao (施颂椒). Global synchronization of Chua's chaotic delay network by using linear matrix inequality[J]. Chinese Physics, 2004, 13(8): 1221-1225.

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Global synchronization of Chua's chaotic delay network by using linear matrix inequality

Global synchronization of Chua's chaotic delay network by using linear matrix inequality

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