Control of unstable steady states by time-delayed feedback methods.
We show that time-delayed feedback methods, which have successfully been used to control unstable periodic orbits, provide 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 nonzero latency times associated with the generation and injection of the feedback signal.
Hövel
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Institut für Theoretische Physik, TU Berlin, Hardenbergstrasse 36, D-10623 Berlin, Germany. phoevel@physik.tu-berlin.de
Schöll
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