a Department of Electronics Engineering, Tsinghua University, Beijing 100084, China; b Department of Automatic Control, Xi'an Jiaotong University, Xi'an 710049, China
Abstract A new synchronization theorem for a class of chaotic systems is presented based on nonlinear observer theory. We take the first state variable of the drive system as the driving scalar signal. Its linear feedback gain is a function of a free parameter. It is proven that global synchronization can be attained through simple linear output error feedback. This approach is illustrated by the WGY hyperchaotic system and Chua's oscillator.
Received: 17 October 2000
Revised: 16 January 2001
Accepted manuscript online:
PACS:
05.45.Xt
(Synchronization; coupled oscillators)
Cite this article:
Liu Feng (刘锋), Ren Yong (任勇), Shan Xiu-ming (山秀明), Qiu Zu-lian (邱祖廉) SYNCHRONIZATION FOR A CLASS OF CHAOTIC SYSTEMS BASED UPON OBSERVER THEORY 2001 Chinese Physics 10 606
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