A secant condition for cyclic systems with time delays and its application to Gene Regulatory Networks

Mehmet Eren Ahsen, Hitay Özbay, Silviu Iulian Niculescu

Research output: Contribution to journalConference articlepeer-review

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 languageEnglish (US)
Pages (from-to)171-176
Number of pages6
JournalIFAC-PapersOnLine
Volume28
Issue number12
DOIs
StatePublished - Jul 1 2015
Externally publishedYes
Event12th IFAC Workshop on Time Delay Systems, TDS 2015 - Ann Arbor, United States
Duration: Jun 28 2015Jun 30 2015

Keywords

  • Gene Regulatory Networks
  • Local stability
  • Secant condition
  • Time delay

ASJC Scopus subject areas

  • Control and Systems Engineering

Fingerprint

Dive into the research topics of 'A secant condition for cyclic systems with time delays and its application to Gene Regulatory Networks'. Together they form a unique fingerprint.

Cite this