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论文类型：期刊论文

发表时间：2018-06-01

发表刊物：NEURAL PROCESSING LETTERS

收录刊物：SCIE、Scopus

卷号：47

期号：3,SI

页面范围：1115-1132

ISSN号：1370-4621

关键字：Genetic regulatory networks; Dirichlet boundary; Neumann boundary; Robin boundary; Reaction-diffusion; Linear matrix inequalities

摘要：This article investigates the passivity of reaction-diffusion genetic regulatory networks (GRNs) with time-varying delays and uncertainty terms under Dirichlet, Neumann, and Robin boundary conditions. We provide delay-dependent stability criteria by constructing appropriate Lyapunov-Krasovskii functions and linear matrix inequalities, and offer conditions sufficient to ensure the passivity of GRNs. We conducted a comparative analysis of GRNs under these three conditions. Numerical examples of the proposed approaches are provided to illustrate its effectiveness, and represent the three-dimensional figures of the trajectories of the concentrations of mRNA and the proteins of GRNs under Dirichlet boundary conditions.