A secant condition for cyclic systems with time delays and its application to Gene Regulatory Networks
Ahsen, M. E.
Niculescu, S. -I.
Proceedings of the 12th IFAC Workshop on Time Delay Systems
171 - 176
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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.