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Phys. Rev. E 70, 056225 (2004) [7 pages]

Improved control of delayed measured systems

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Jens Christian Claussen and Heinz Georg Schuster
Institut für Theoretische Physik der Universität Kiel, 24098 Kiel, Germany

Received 29 July 2004; published 29 November 2004

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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.70.056225
DOI:
10.1103/PhysRevE.70.056225
PACS:
05.45.Gg