Control of unstable steady states by time-delayed feedback methods

Details Control of unstable steady states by time-delayed feedback methods Control of unstable steady states by time-delayed feedback methods

2005-08-16

arxiv.org/abs/cond-mat/0508367v1

Physics

Condensed Matter

Other Condensed Matter

8 pages, 11 figures

Scientific paper

10.1103/PhysRevE.72.046203

We show that time-delayed feedback methods, which have successfully been used to control unstable periodic ortbits, 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 non-zero latency times associated with the generation and injection of the feedback signal.

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