English

Control of unstable steady states by time-delayed feedback methods

Other Condensed Matter 2009-11-11 v1

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/0508367,
  title  = {Control of unstable steady states by time-delayed feedback methods},
  author = {P. Hoevel and E. Schoell},
  journal= {arXiv preprint arXiv:cond-mat/0508367},
  year   = {2009}
}

Comments

8 pages, 11 figures

R2 v1 2026-07-22T11:21:27.809Z