TY - JOUR
T1 - Robust synchronization of chaotic non-autonomous systems using adaptive-feedback control
AU - Lei, Youming
AU - Xu, Wei
AU - Shen, Jianwei
PY - 2007/1
Y1 - 2007/1
N2 - In this paper, we apply the simple adaptive-feedback control scheme to synchronize a class of chaotic non-autonomous systems. Based on the invariance principle of differential equations, some generic sufficient conditions for global asymptotic synchronization are obtained. Unlike the usual linear feedback, the variable feedback strength is automatically adapted to completely synchronize two identical systems and simple to implement in practice. As illustrative examples, synchronization of two parametrically excited chaotic pendulums and that of two 4D new systems are considered here. Numerical simulations show the proposed method is effective and robust against the effect of noise.
AB - In this paper, we apply the simple adaptive-feedback control scheme to synchronize a class of chaotic non-autonomous systems. Based on the invariance principle of differential equations, some generic sufficient conditions for global asymptotic synchronization are obtained. Unlike the usual linear feedback, the variable feedback strength is automatically adapted to completely synchronize two identical systems and simple to implement in practice. As illustrative examples, synchronization of two parametrically excited chaotic pendulums and that of two 4D new systems are considered here. Numerical simulations show the proposed method is effective and robust against the effect of noise.
UR - http://www.scopus.com/inward/record.url?scp=33746013557&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2005.09.058
DO - 10.1016/j.chaos.2005.09.058
M3 - 文章
AN - SCOPUS:33746013557
SN - 0960-0779
VL - 31
SP - 371
EP - 379
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 2
ER -