TY - JOUR
T1 - Generating topologically conjugate chaotic systems via feedback control
AU - Wang, Xiao Fan
AU - Chen, Guanrong
PY - 2003/6
Y1 - 2003/6
N2 - This brief proposes a unified approach for generating chaos in n-dimensional continuous-time affine systems, with n ≥ 3, based on the normal form of chaotic systems and nonlinear control theory. A feedback-control law is designed to make a feedback linearizable system topologically conjugate to a reference chaotic system, thereby forcing the given system to become chaotic. Furthermore, if the relative degree of a given feedback unlinearizable system is not less than three and the corresponding internal dynamics of the system is input-to-state stable, then a feedback-control law can still be designed to drive a subsystem of such a controlled system topologically conjugate to a reference chaotic system, thereby generating chaos from that subsystem.
AB - This brief proposes a unified approach for generating chaos in n-dimensional continuous-time affine systems, with n ≥ 3, based on the normal form of chaotic systems and nonlinear control theory. A feedback-control law is designed to make a feedback linearizable system topologically conjugate to a reference chaotic system, thereby forcing the given system to become chaotic. Furthermore, if the relative degree of a given feedback unlinearizable system is not less than three and the corresponding internal dynamics of the system is input-to-state stable, then a feedback-control law can still be designed to drive a subsystem of such a controlled system topologically conjugate to a reference chaotic system, thereby generating chaos from that subsystem.
KW - Chaos
KW - Feedback linearization
KW - Nonlinear systems
KW - Topologically conjugate
UR - http://www.scopus.com/inward/record.url?scp=0038494821&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0038494821&origin=recordpage
U2 - 10.1109/TCSI.2003.812607
DO - 10.1109/TCSI.2003.812607
M3 - RGC 22 - Publication in policy or professional journal
SN - 1057-7122
VL - 50
SP - 812
EP - 817
JO - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
JF - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
IS - 6
ER -