TY - JOUR
T1 - Frequency-domain criteria for global synchronization of multiscroll chaotic systems under linear feedback control
AU - Wu, Xiaofeng
AU - Gui, Zhifang
AU - Chen, Guanrong
PY - 2010/7
Y1 - 2010/7
N2 - This paper provides a unified approach for achieving and analyzing global synchronization of a class of master-slave coupled multiscroll chaotic systems under linear state-error feedback control. A general mathematical model for such a class of multiscroll chaotic systems is first established. Based on some special properties of such systems, two less-conservative frequency-domain criteria for the desirable global synchronization are rigorously proven by means of the absolute stability theory. The analysis is then applied to two master-slave coupled modified Chua's circuits, obtaining the corresponding simple and precise algebraic criteria for global synchronization, which are finally verified by numerical simulations. © 2010 World Scientific Publishing Company.
AB - This paper provides a unified approach for achieving and analyzing global synchronization of a class of master-slave coupled multiscroll chaotic systems under linear state-error feedback control. A general mathematical model for such a class of multiscroll chaotic systems is first established. Based on some special properties of such systems, two less-conservative frequency-domain criteria for the desirable global synchronization are rigorously proven by means of the absolute stability theory. The analysis is then applied to two master-slave coupled modified Chua's circuits, obtaining the corresponding simple and precise algebraic criteria for global synchronization, which are finally verified by numerical simulations. © 2010 World Scientific Publishing Company.
KW - Chaotic synchronization
KW - linear state-error feedback control
KW - modified Chua's circuit
KW - multiscroll chaotic system
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U2 - 10.1142/S021812741002699X
DO - 10.1142/S021812741002699X
M3 - RGC 21 - Publication in refereed journal
SN - 0218-1274
VL - 20
SP - 2165
EP - 2177
JO - International Journal of Bifurcation and Chaos
JF - International Journal of Bifurcation and Chaos
IS - 7
ER -