文章基本信息

标题：Robust stability of interactional genetic regulatory networks with reaction-diffusion terms
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作者：Chengye Zou ; Xiaopeng Wei ; Qiang Zhang 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：250
DOI：10.1186/s13662-017-1262-7
语种：English
出版社：Hindawi Publishing Corporation
摘要：We have analyzed the stability of interactional genetic regulatory networks with reaction-diffusion terms under Dirichlet boundary conditions in this article. Corresponding to interaction between unstable genetic regulatory networks and stable genetic regulatory networks, the model is given, and a stability criterion is proposed through construction of appropriate Lyapunov-Krasovskii functions and linear matrix inequalities (LMI). By means of a numerical simulation, we have proved the effectiveness and correctness of the theorem, and we analyzed the factors that influence the stability for interactional genetic regulatory networks.
关键词：interactional genetic regulatory networks ; Dirichlet boundary ; reaction-diffusion ; linear matrix inequalities