Exponential stability of gene regulatory networks with distributed delays

This paper explores the global exponential stability (GES) for a class of genetic regulatory networks (GRNs) with distributed time-varying delays. Firstly, we establish a new class of GRNs with recent-history distributed time-varying delays, which can be useful for better understanding of GRNs dynamics more precisely. Then, to simplify the complexity of the main results, a suitable Lyapunov functional is constructed with the help of Lyapunov stability theory, and some new delay-dependent exponential stability conditions for the considered GRNs are derived. Different from other papers, this paper presents novel results that are easy to solve and new insights into GES of GRNs. Finally, two standard numerical examples along with their simulation analysis are presented to illustrate the effectiveness of theoretical results.