| Synchronization of Modified Chua＇s Circuit with x｜x｜ Function |
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| 作者姓名： | TANG Fang WANG Ling |
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| 作者单位： | [1]Department of Physics, Beijing University of Aeronautics and Astronautics, Beijing ,100083, China [2]LNM, Institute of Mechanics, the Chinese Academy of Sciences, Beijing 100080, China [3]Department of Automation, Tsinghua University, Beijing 100084, China |
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| 基金项目： | The project partially supported by National Natural Science Foundation of China under Grant Nos. 60204006 and 60374060 |
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| 摘 要： | This paper considers the chaos synchronization of the modified Chua＇s circuit with x｜x｜ function. We firstly show that a couple of the modified Chua systems with different parameters and initial conditions can be synchronized using active control when the values of parameters both in drive system and response system are known aforehand.Furthermore, based on Lyapunov stability theory we propose an adaptive active control approach to make the states of two identical Chua systems with unknown constant parameters asymptotically synchronized. Moreover the designed controller is independent of those unknown parameters. Numerical simulations are given to validate the proposed synchronization approach.
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| 关 键 词： | 混沌 同步性 改良电路 控制技术 |
| 收稿时间： | 2004-12-14 |
| 修稿时间： | 2004-12-142005-01-24 |
Synchronization of Modified Chua's Circuit with x|x| Function |
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| TANG Fang WANG Ling.Synchronization of Modified Chua's Circuit with x|x| Function[J].Communications in Theoretical Physics,2005,44(2):303-306. |
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| Authors: | TANG;Fang;WANG;Ling |
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| Institution: | 1. Department of Physics, Beijing University of Aeronautics and
Astronautics, Beijing 100083, China
;2. LNM, Institute of Mechanics, the Chinese Academy of Sciences, Beijing 100080, China
;3. Department of Automation, Tsinghua University, Beijing 100084, China |
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| Abstract: | This paper considers the chaos synchronization of the modified Chua's
circuit with x|x| function. We firstly show that a couple of the modified Chua systems with different parameters and initial conditions can be synchronized using active control when the values of parameters both in drive system and response system are known aforehand. Furthermore, based on Lyapunov stability theory we propose an adaptive active control approach to make the states of two identical Chua systems with unknown constant parameters asymptotically synchronized. Moreover the designed controller is
independent of those unknown parameters. Numerical simulations are given to validate the proposed synchronization approach. |
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| Keywords: | chaos synchronization modified Chua's circuit active control adaptive active control |
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