Abstract
A stability condition is derived for cyclic systems with time delayed negative feedback. The result is an extension of the so-called secant condition, which is originally developed for systems without time delays. This extension of the secant condition gives a new local stability condition for a model of GRNs (Gene Regulatory Networks) under negative feedback. Stability robustness of homogenous networks is also investigated.
Original language | English (US) |
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Pages (from-to) | 171-176 |
Number of pages | 6 |
Journal | IFAC-PapersOnLine |
Volume | 28 |
Issue number | 12 |
DOIs | |
State | Published - Jul 1 2015 |
Externally published | Yes |
Event | 12th IFAC Workshop on Time Delay Systems, TDS 2015 - Ann Arbor, United States Duration: Jun 28 2015 → Jun 30 2015 |
Keywords
- Gene Regulatory Networks
- Local stability
- Secant condition
- Time delay
ASJC Scopus subject areas
- Control and Systems Engineering