APS » PROLA » Phys. Rev. E » Volume 59 » Issue 4

Phys. Rev. E 59, 4691 - 4694 (1999)

Control perspective on synchronization and the Takens-Aeyels-Sauer reconstruction theorem

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Henri Huijberts *
Faculty of Mathematics and Computing Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands

Torsten Lilge
Institut für Regelungstechnik, Universität Hannover, Appelstrasse 11, D-30167 Hannover, Germany

Henk Nijmeijer
Faculty of Mathematical Sciences, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
Faculty of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands

Received 15 June 1998

A method, based on ideas from control theory, is described for the synchronization of discrete time transmitter and receiver dynamics. Conceptually, the methodology consists of constructing observer-receiver dynamics that exploit the drive signal and past values of the drive signal at each time instant. In this way, the method can be viewed as a dynamic reconstruction mechanism.


©1999 The American Physical Society

URL: http://link.aps.org/abstract/PRE/v59/p4691
DOI: 10.1103/PhysRevE.59.4691
PACS: 05.45.-a, 07.05.Dz, 02.10.Jf

* Author to whom correspondence should be addressed.

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