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Stability analysis for delayed genetic regulatory networks with reaction--diffusion terms
Authors:Qian Ma  Guodong Shi  Shengyuan Xu  Yun Zou
Affiliation:(1) School of Automation, Nanjing University of Science and Technology, 210094 Nanjing, People’s Republic of China;(2) School of Information Science and Engineering, Changzhou University, 213164 Changzhou, People’s Republic of China;
Abstract: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.
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