English

Transient behavior in systems with time-delayed feedback

Adaptation and Self-Organizing Systems 2009-12-10 v1

Abstract

We investigate the transient times for the onset of control of steady states by time-delayed feedback. The optimization of control by minimising the transient time before control becomes effective is discussed analytically and numerically, and the competing influences of local and global features are elaborated. We derive an algebraic scaling of the transient time and confirm our findings by numerical simulations in dependence on feedback gain and time delay.

Keywords

Cite

@article{arxiv.0912.1727,
  title  = {Transient behavior in systems with time-delayed feedback},
  author = {Robert C. Hinz and Philipp Hövel and Eckehard Schöll},
  journal= {arXiv preprint arXiv:0912.1727},
  year   = {2009}
}

Comments

6 pages, 9 figures, 9th IFAC Workshop on Time Delay Systems

R2 v1 2026-06-21T14:21:37.634Z