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.
- Publication:
-
Physical Review E
- Pub Date:
- October 2005
- DOI:
- 10.1103/PhysRevE.72.046203
- arXiv:
- arXiv:cond-mat/0508367
- Bibcode:
- 2005PhRvE..72d6203H
- Keywords:
-
- 05.45.Gg;
- 02.30.Ks;
- Control of chaos applications of chaos;
- Delay and functional equations;
- Condensed Matter - Other Condensed Matter
- E-Print:
- 8 pages, 11 figures