1. Robust stability of interactional genetic regulatory networks with reaction-diffusion terms.
- Author
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Zou, Chengye, Wei, Xiaopeng, Zhang, Qiang, and Zhou, Changjun
- Subjects
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GENE regulatory networks , *ROBUST stability analysis , *REACTION-diffusion equations , *BOUNDARY value problems , *LYAPUNOV functions - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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