Stability analysis for delayed genetic regulatory networks with reaction-diffusion terms

摘要

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.