Robust stability of interactional genetic regulatory networks with reaction-diffusion terms

Advances in Difference Equations

Qiang Zhang¹  Chengye Zou¹  Xiaopeng Wei¹  Changjun Zhou² 

[1]Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, China

[2]Key Laboratory of Advanced and Intelligent Computing, Dalian University, Ministry of Education, Dalian, China

关键词: interactional genetic regulatory networks;    Dirichlet boundary;    reaction-diffusion;    linear matrix inequalities;   

DOI  :  10.1186/s13662-017-1262-7

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY