TY - JOUR
T1 - Improved control of delayed measured systems
AU - Claussen, Jens Christian
AU - Schuster, Heinz Georg
PY - 2004/11/29
Y1 - 2004/11/29
N2 - In this paper, we address the question of how the control of delayed measured chaotic systems can be improved. Both unmodified Ott-Grebogi-Yorke control and difference control can be successfully applied only for a certain range of Lyapunov numbers depending on the delay time. We show that this limitation can be overcome by at least two classes of methods, namely, by rhythmic control and by the memory methods of linear predictive logging control and memory difference control.
AB - In this paper, we address the question of how the control of delayed measured chaotic systems can be improved. Both unmodified Ott-Grebogi-Yorke control and difference control can be successfully applied only for a certain range of Lyapunov numbers depending on the delay time. We show that this limitation can be overcome by at least two classes of methods, namely, by rhythmic control and by the memory methods of linear predictive logging control and memory difference control.
UR - http://www.scopus.com/inward/record.url?scp=41349094146&partnerID=8YFLogxK
UR - https://journals.aps.org/pre/abstract/10.1103/PhysRevE.70.056225
U2 - 10.1103/PhysRevE.70.056225
DO - 10.1103/PhysRevE.70.056225
M3 - Article
AN - SCOPUS:41349094146
SN - 1539-3755
VL - 70
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 5
M1 - 056225
ER -