Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:C2L-D

Session:

Number:674

Adaptive time-delayed feedback control

Eckehard Schöll,  Judith Lehnert,  Thomas Dahms,  Anton Selivanov,  Alexander L. Fradkov,  

pp.674-677

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.674

PDF download (538.5KB)

We demonstrate that time-delayed feedback control can be improved by adaptively tuning the feedback parameters, using the speed-gradient method of control theory. For a delay-coupled network of Stuart-Landau oscillators (normal form of supercritical Hopf bifurcation) we show that by adaptively tuning the coupling phase, as well as the coupling strength and the delay time, one can easily control the stability of different synchronous periodic states, namely in-phase, cluster, or splay states. Our results are robust even for slightly nonidentical elements of the network.

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