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Chaos Synchronization of Uncertain Lorenz System via Single State Variable Feedback
School of Automotive Studies, Tongji University, Shanghai, China；Clean Energy Automotive Engineering Center, Tongji University, Shanghai, China
School of Automotive Studies, Tongji University, Shanghai, China；Clean Energy Automotive Engineering Center, Tongji University, Shanghai, China
- 1 School of Automotive Studies, Tongji University, Shanghai, China；Clean Energy Automotive Engineering Center, Tongji University, Shanghai, China
- 2 School of Automotive Studies, Tongji University, Shanghai, China；Clean Energy Automotive Engineering Center, Tongji University, Shanghai, China
Applied Mathematics·Volume 04 (2013)·Pages 7–12·Published 17 October 2013·DOI10.4236/am.2013.411A2002
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Abstract
This paper treats the problem of chaos synchronization for uncertain Lorenz system via single state variable information of the master system. By the Lyapunov stability theory and adaptive technique, the derived controller is featured as fol lows: 1 ) only single state variable information of the master system is needed; 2 ) chaos synchronization can also be achieved even if the perturbation is occurred in some parameters of the master chaotic system. Finally, the effectiveness of the proposed controllers is also illustrated by the simulations as well as rigorous mathematical proofs.
KeywordsUncertain Lorenz SystemSingle State VariableChaos Synchronization
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