TY - JOUR
T1 - Adaptive synchronization of identical chaotic and hyper-chaotic systems with uncertain parameters
AU - Li, Xian-Feng
AU - Leung, Andrew Chi-Sing
AU - Liu, Xiao-Jun
AU - Han, Xiu-Ping
AU - Chu, Yan-Dong
PY - 2010/8
Y1 - 2010/8
N2 - This paper addresses a unified mathematical expression describing a class of chaotic systems, for which the problem of adaptive synchronization between two nearly identical chaotic and hyper-chaotic systems with uncertain parameters is studied. Based on Lyapunov stability theory, a novel adaptive synchronization controller is designed, and the analytic expression of the controller and the adaptive laws of parameters are developed. The controller is simple and systemic, no parameters of the slave system are included in the controller, and, for some specific error systems, the controller can be simplified ulteriorly. New chaotic and a new hyper-chaotic systems with uncertain parameters are taken as the examples to show the effectiveness of the proposed adaptive synchronization method. © 2009 Elsevier Ltd. All rights reserved.
AB - This paper addresses a unified mathematical expression describing a class of chaotic systems, for which the problem of adaptive synchronization between two nearly identical chaotic and hyper-chaotic systems with uncertain parameters is studied. Based on Lyapunov stability theory, a novel adaptive synchronization controller is designed, and the analytic expression of the controller and the adaptive laws of parameters are developed. The controller is simple and systemic, no parameters of the slave system are included in the controller, and, for some specific error systems, the controller can be simplified ulteriorly. New chaotic and a new hyper-chaotic systems with uncertain parameters are taken as the examples to show the effectiveness of the proposed adaptive synchronization method. © 2009 Elsevier Ltd. All rights reserved.
KW - Adaptive control
KW - Chaos synchronization
KW - Uncertain parameters
UR - http://www.scopus.com/inward/record.url?scp=77955770836&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-77955770836&origin=recordpage
U2 - 10.1016/j.nonrwa.2009.06.011
DO - 10.1016/j.nonrwa.2009.06.011
M3 - RGC 21 - Publication in refereed journal
SN - 1468-1218
VL - 11
SP - 2215
EP - 2223
JO - Nonlinear Analysis: Real World Applications
JF - Nonlinear Analysis: Real World Applications
IS - 4
ER -