Spatiotemporal chaos synchronization of an uncertain network based on sliding mode control

The sliding mode control method is used to study spatiotemporal chaos synchronization of an uncertain network.The method is extended from synchronization between two chaotic systems to the synchronization of complex network composed of N spatiotemporal chaotic systems.The sliding surface of the netw...

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Published inChinese physics B Vol. 21; no. 10; pp. 174 - 178
Main Author 吕翎 于淼 韦琳玲 张檬 李雨珊
Format Journal Article
LanguageEnglish
Published 01.10.2012
Subjects
Burgers equation
Burgers方程
Chaos theory
Networks
Simulation
Sliding mode control
Stability
Synchronism
Synchronization
同步方法
复杂网络
控制输入
时空混沌同步
时空混沌系统
滑模控制
稳定性理论
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/10/100507

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Abstract The sliding mode control method is used to study spatiotemporal chaos synchronization of an uncertain network.The method is extended from synchronization between two chaotic systems to the synchronization of complex network composed of N spatiotemporal chaotic systems.The sliding surface of the network and the control input are designed.Furthermore,the effectiveness of the method is analysed based on the stability theory.The Burgers equation with spatiotemporal chaos behavior is taken as an example to simulate the experiment.It is found that the synchronization performance of the network is very stable.
AbstractList The sliding mode control method is used to study spatiotemporal chaos synchronization of an uncertain network. The method is extended from synchronization between two chaotic systems to the synchronization of complex network composed of N spatiotemporal chaotic systems. The sliding surface of the network and the control input are designed. Furthermore, the effectiveness of the method is analysed based on the stability theory. The Burgers equation with spatiotemporal chaos behavior is taken as an example to simulate the experiment. It is found that the synchronization performance of the network is very stable.
Author 吕翎 于淼 韦琳玲 张檬 李雨珊
AuthorAffiliation College of Physics and Electronic Technology, Liaoning NormM University, Dalian 116029, China
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Notes LV Ling,Yu Miao,Wei Lin-Ling,Zhang Meng, Li Yu-Shan （College of Physics and Electronic Technology,Liaoning Normal University,Dalian 116029,China）
The sliding mode control method is used to study spatiotemporal chaos synchronization of an uncertain network.The method is extended from synchronization between two chaotic systems to the synchronization of complex network composed of N spatiotemporal chaotic systems.The sliding surface of the network and the control input are designed.Furthermore,the effectiveness of the method is analysed based on the stability theory.The Burgers equation with spatiotemporal chaos behavior is taken as an example to simulate the experiment.It is found that the synchronization performance of the network is very stable.
spatiotemporal chaos synchronization; complex network; sliding mode control; Lyapunov theorem
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Snippet The sliding mode control method is used to study spatiotemporal chaos synchronization of an uncertain network.The method is extended from synchronization...
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SubjectTerms Burgers equation
Burgers方程
Chaos theory
Networks
Simulation
Sliding mode control
Stability
Synchronism
Synchronization
同步方法
复杂网络
控制输入
时空混沌同步
时空混沌系统
滑模控制
稳定性理论
Title Spatiotemporal chaos synchronization of an uncertain network based on sliding mode control
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