Details
| Original language | English |
|---|---|
| Title of host publication | 2009 European Control Conference, ECC 2009 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 2146-2151 |
| Number of pages | 6 |
| ISBN (electronic) | 9783952417393 |
| Publication status | Published - 26 Mar 2014 |
| Externally published | Yes |
| Event | 2009 European Control Conference (ECC) - Budapest, Hungary Duration: 23 Aug 2009 → 26 Aug 2009 |
Publication series
| Name | 2009 European Control Conference, ECC 2009 |
|---|
Abstract
The paper gives new conditions for the occurrence of a transcritical bifurcation in a non-negative passive system under non-linear static feedback. In biological systems, this provides a mechanism for defining activation thresholds in positive feedback systems. We apply the results to a simple gene regulation system to compute an activation threshold in the feedback regulation strength.
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
2009 European Control Conference, ECC 2009. Institute of Electrical and Electronics Engineers Inc., 2014. p. 2146-2151 7074722 (2009 European Control Conference, ECC 2009).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - The transcritical bifurcation in absolutely stable feedback systems
AU - Muller, Matthias A.
AU - Waldherr, Steffen
AU - Allgower, Frank
N1 - Publisher Copyright: © 2009 EUCA.
PY - 2014/3/26
Y1 - 2014/3/26
N2 - The paper gives new conditions for the occurrence of a transcritical bifurcation in a non-negative passive system under non-linear static feedback. In biological systems, this provides a mechanism for defining activation thresholds in positive feedback systems. We apply the results to a simple gene regulation system to compute an activation threshold in the feedback regulation strength.
AB - The paper gives new conditions for the occurrence of a transcritical bifurcation in a non-negative passive system under non-linear static feedback. In biological systems, this provides a mechanism for defining activation thresholds in positive feedback systems. We apply the results to a simple gene regulation system to compute an activation threshold in the feedback regulation strength.
UR - http://www.scopus.com/inward/record.url?scp=84955207093&partnerID=8YFLogxK
U2 - 10.23919/ecc.2009.7074722
DO - 10.23919/ecc.2009.7074722
M3 - Conference contribution
AN - SCOPUS:84955207093
T3 - 2009 European Control Conference, ECC 2009
SP - 2146
EP - 2151
BT - 2009 European Control Conference, ECC 2009
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2009 European Control Conference (ECC)
Y2 - 23 August 2009 through 26 August 2009
ER -