TITLE:
Chaos Synchronization of Uncertain Lorenz System via Single State Variable Feedback
AUTHORS:
Fengxiang Chen, Tong Zhang
KEYWORDS:
Uncertain Lorenz System; Single State Variable; Chaos Synchronization
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.11B,
November
7,
2013
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.