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
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.
Received: 11 November 2003
Revised: 16 January 2004
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 70371066 ), and by China Postdoctoral Science Foundation (Grant No 2003033307).
Cite this article:
Li Zhi (李智), Shi Song-Jiao (施颂椒) Global synchronization of Chua's chaotic delay network by using linear matrix inequality 2004 Chinese Physics 13 1221
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