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DY: Dynamik und Statistische Physik

DY 30: Spiral Formation and Feedback

DY 30.10: Talk

Monday, March 7, 2005, 12:30–12:45, TU H3010

Stabilization of unstable steads states by time-delayed feedback methods — •Philipp Hövel and Eckehard Schöll — Technische Universität Berlin, 10623 Berlin, Germany

Time-delayed feedback methods have successfully been used to control unstable periodic ortbits. We show that the same technique provides a tool to stabilize unstable steady states. We present an analytical investigation of the feedback scheme using the Lambert function and discuss effects of both a low-pass filter included in the control loop and non-zero latency times, i.e., the time associated with the generation and injection of the feedack singal.