Robust stability of interactional genetic regulatory networks with reaction-diffusion terms
Robust stability of interactional genetic regulatory networks with reaction-diffusion terms
复制标题
具有反应扩散项的相互作用遗传调控网络的鲁棒稳定性
DOI：
10.1186/s13662-017-1262-7
复制
发表时间：
2017
影响因子：
4.1
通讯作者：
Zhou Changjun
中科院分区：
文献类型：
--
作者：
Zou Chengye;Wei Xiaopeng;Zhang Qiang;Zhou Changjun
本文分析了具有反应扩散项的相互作用遗传调控网络在Dirichlet边界条件下的稳定性。针对不稳定的遗传调控网络与稳定的遗传调控网络之间的相互作用，给出了相应的模型，并通过构造适当的Lyapunov-Krasovskii函数和线性矩阵不等式(LMI)给出了稳定性判据。通过数值模拟，证明了该定理的有效性和正确性，并分析了影响互作型基因调控网络稳定性的因素。
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.