Abstract
In this work, stability analysis is performed for a cyclic dynamical model of gene regulatory networks involving time delays, under negative feedback. The model considered has nonlinearities with negative Schwarzian derivatives. Sufficient conditions implying global stability of these types of GRNs are obtained. The special case of homogenous gene regulatory networks is also studied; in this case, the proposed stability conditions depend only on the parameters of the nonlinearity function. Illustrative numerical examples complete the presentation.
| Original language | English |
|---|---|
| Pages (from-to) | 1609-1627 |
| Number of pages | 19 |
| Journal | International Journal of Robust and Nonlinear Control |
| Volume | 24 |
| Issue number | 11 |
| DOIs | |
| State | Published - 25 Jul 2014 |
| Externally published | Yes |
Keywords
- Schwarzian derivatives
- asymptotic stability
- gene regulatory networks
- hill functions
- time delay