Applied Mathematics

Volume 4, Issue 11 (November 2013)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.96  Citations  

Chaos Synchronization of Uncertain Lorenz System via Single State Variable Feedback

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DOI: 10.4236/am.2013.411A2002    4,087 Downloads   5,871 Views  Citations

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 follows: 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.

Share and Cite:

Chen, F. and Zhang, T. (2013) Chaos Synchronization of Uncertain Lorenz System via Single State Variable Feedback. Applied Mathematics, 4, 7-12. doi: 10.4236/am.2013.411A2002.

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