文章基本信息

标题：Lyapunov stability of generalized ribosome flows*
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作者：Mihály A. Vághy ; Gábor Szederkényi
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2022
卷号：55
期号：18
页码：56-61
DOI：10.1016/j.ifacol.2022.08.030
语种：English
出版社：Elsevier
摘要：AbstractIn this paper we show that a wide class of compartmental systems with bounded capacities called generalized ribosome flow models are stable with an entropy-like logarithmic Lyapunov function known from the theory of nonnegative systems and reaction networks. The stability proof uses the kinetic representation of the compartmental model and earlier approaches applied for the input-to-state stability analysis of reaction networks with time-varying reaction rates. The results are valid not only for mass action type systems but also for models with more general reaction rates. Illustrative examples are given to show the qualitative dynamical properties of simple generalized ribosome flow models.
关键词：KeywordsLyapunov methodsstability of nonlinear systemsstability of distributed parameter systemskinetic modeling