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Global properties of time‐delayed feedback control in electronic circuits
Author(s) -
Höhne Klaus,
Benner Hartmut
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700088
Subject(s) - attractor , control theory (sociology) , chaotic , limiting , trajectory , feedback control , electronic circuit , stability (learning theory) , control (management) , chaos (operating system) , computer science , periodic orbits , physics , mathematics , engineering , control engineering , classical mechanics , mathematical analysis , quantum mechanics , mechanical engineering , computer security , artificial intelligence , machine learning
Global properties play an important role in real life applications of time‐delayed feedback control of chaos. The success of control is not only determined by the change of the local stability of some unstable periodic state embedded in the chaotic attractor, but also related to a basin of attraction large enough to capture the chaotic trajectory within a reasonable time. We report on electronic circuit experiments where the control performance is essentially affected by the type of bifurcations limiting the control regime and their respective global properties. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)