TY - JOUR
T1 - Feedback control of Lyapunov exponents for discrete-time dynamical systems
AU - Chen, Guanrong
AU - Lai, Dejian
PY - 1996/7
Y1 - 1996/7
N2 - A simple, yet mathematically rigorous feedback control design method is proposed in this paper, which can make all the Lyapunov exponents of the controlled system strictly positive, for any given n-dimensional dynamical system that could be originally nonchaotic or even asymptotically stable. The argument used is purely algebraic and the design procedure is completely schematic, with no approximations used throughout the derivation.This is a rigorous and convenient technique suggested as an attempt for anticontrol of chaotic dynamical systems, with explicit computational formulas derived for applications.
AB - A simple, yet mathematically rigorous feedback control design method is proposed in this paper, which can make all the Lyapunov exponents of the controlled system strictly positive, for any given n-dimensional dynamical system that could be originally nonchaotic or even asymptotically stable. The argument used is purely algebraic and the design procedure is completely schematic, with no approximations used throughout the derivation.This is a rigorous and convenient technique suggested as an attempt for anticontrol of chaotic dynamical systems, with explicit computational formulas derived for applications.
UR - http://www.scopus.com/inward/record.url?scp=0040062409&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0040062409&origin=recordpage
U2 - 10.1142/S021812749600076X
DO - 10.1142/S021812749600076X
M3 - RGC 21 - Publication in refereed journal
SN - 0218-1274
VL - 6
SP - 1341
EP - 1349
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
IS - 7
ER -