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Cognitive Neurodynamics
Erschienen in: Cognitive Neurodynamics 4/2015

01.08.2015 | Research Article

Sufficient and necessary conditions for Lyapunov stability of genetic networks with SUM regulatory logic

verfasst von: Guopeng Zhou, Jinhua Huang, Fengxia Tian, Xiaoxin Liao

Erschienen in: Cognitive Neurodynamics | Ausgabe 4/2015

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Abstract

In this paper, a nonlinear model for genetic regulator networks (GRNs) with SUM regulatory logic is presented. Four sufficient and necessary conditions of global asymptotical stability and global exponential stability for the equilibrium point of the GRNs are proposed, respectively. Specifically, three weak sufficient conditions and corresponding corollaries are derived by using comparing theorem and Dini derivative method. Then, a famous GRN model is used as the example to illustrate the effectiveness of our theoretical results. Comparing to the results in the previous literature, some novel ideas, study methods and interesting results are explored.
Vorheriger Artikel Exponential synchronization for fuzzy cellular neural networks with time-varying delays and nonlinear impulsive effects
Nächster Artikel Lognormal distribution of firing time and rate from a single neuron?

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Metadaten
Titel
Sufficient and necessary conditions for Lyapunov stability of genetic networks with SUM regulatory logic
verfasst von
Guopeng Zhou
Jinhua Huang
Fengxia Tian
Xiaoxin Liao
Publikationsdatum
01.08.2015
Verlag
Springer Netherlands
Erschienen in
Cognitive Neurodynamics / Ausgabe 4/2015
Print ISSN: 1871-4080
Elektronische ISSN: 1871-4099
DOI
https://doi.org/10.1007/s11571-015-9341-5

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