Tae H. Lee and J.H. Park and S.M. Lee and H.Y. Jung
Adaptive Functional Projective Lag Synchronization of Lorenz System
1112 - 1114
2009
3
12
International Journal of Physical and Mathematical Sciences
https://publications.waset.org/pdf/6425
https://publications.waset.org/vol/36
World Academy of Science, Engineering and Technology
This paper addresses functional projective lag synchronization of Lorenz system with four unknown parameters, where the output of the master system lags behind the output of the slave system proportionally. For this purpose, an adaptive control law is proposed to make the states of two identical Lorenz systems asymptotically synchronize up. Based on Lyapunov stability theory, a novel criterion is given for asymptotical stability of the null solution of an error dynamics. Finally, some numerical examples are provided to show the effectiveness of our results.
Open Science Index 36, 2009