文章基本信息

标题：On stability analysis of genetic regulatory networks represented by delay-differential equations ★
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作者：Laurie Haustenne ; Georges Bastin ; Jean-Michel Coron 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2015
卷号：48
期号：1
页码：453-457
DOI：10.1016/j.ifacol.2015.05.108
语种：English
出版社：Elsevier
摘要：AbstractThe purpose of this note is to give a short presentation of a general method for the stability analysis of the steady-states of genetic regulatory networks represented by delay- differential equations. Two complementary ways are investigated: a frequency domain approach which applies to linearized models and gives necessary and sufficient conditions for the local steady-state stability, a Lyapunov approach derived from the viewpoint of hyperbolic PDE systems which gives sufficient conditions for global stability. These methods are illustrated with the example of the “toggle switch”.
关键词：KeywordsGenetic regulatory networkHyperbolic systemLyapunov functionStability