title: Control of unstable steady states by time-delayed feedback methods.
abstract: 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.
authors.affiliation: Institut für Theoretische Physik, TU Berlin, Hardenbergstrasse 36, D-10623 Berlin, Germany. phoevel@physik.tu-berlin.de
authors.forename: P
authors.initials: P
authors.lastname: Hövel
authors.forename: E
authors.initials: E
authors.lastname: Schöll