Robust stability of delayed Markovian switching genetic regulatory networks with reaction–diffusion terms

Abstract

Robust stochastic stability of delayed genetic regulatory networks with reaction–diffusion terms, uncertainties terms and Markovian jumping parameters under Dirichlet boundary conditions is researched in this article. Based on Lyapunov–Krasovskii functions and linear matrix inequalities, sufficient conditions are given to ensure the robust stability for the continuous-time delayed genetic regulatory networks. In addition, it is discussed that the stability criteria proposed in this paper are less conservative than the existing ones. Numerical examples are presented to illustrate the effectiveness of the proposed approach.