Open Access AM Chaos Synchronization of Uncertain Lorenz System via Single State Variable Feedback

Copyright © 2013 Fengxiang Chen, Tong Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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 occurs 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