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Robust stability of interactional genetic regulatory networks with reaction-diffusion terms
oleh: Chengye Zou, Xiaopeng Wei, Qiang Zhang, Changjun Zhou
Format: | Article |
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Diterbitkan: | SpringerOpen 2017-08-01 |
Deskripsi
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.