Stability analysis for delayed genetic regulatory networks with reaction--diffusion terms
Stability analysis for delayed genetic regulatory networks with reaction--diffusion terms
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DOI：
10.1007/s00521-011-0575-9
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发表时间：
2011-06
影响因子：
6
通讯作者：
Qian Ma;Guodong Shi;Shengyuan Xu;Y. Zou
中科院分区：
文献类型：
--
作者：
Qian Ma;Guodong Shi;Shengyuan Xu;Y. Zou
本文研究了具有反应扩散项的延迟遗传调控网络的渐近稳定性问题。对于三种类型的边界条件，分别通过 Lyapunov--Krasovskii 函数方法建立延迟相关准则。获得的结果以线性矩阵不等式表示。提供了说明所提出方法的有效性的数值示例。
This paper deals with the problem of asymptotic stability for delayed genetic regulatory networks with reaction--diffusion terms. For three types of boundary conditions, delay-dependent criteria are established by the Lyapunov--Krasovskii functional approach, respectively. The obtained results are expressed in terms of linear matrix inequalities. Numerical examples illustrating the effectiveness of the proposed approach are provided.