混合时滞基因调控网络的自适应稳定化研究

In this paper, the stabilization of a class of mixed delayed genetic regulatory networks (GRNs) is investigated. The adaptive feedback control scheme is used to achieve global asymptotic stability for the GRNs with finite distributed delays and discrete delays. By introducing the integral partitioning technique and delay fractioning approach, a Lyapunov-Krasovskii function (LKF) is constructed, and some sufficient stability criteria in the form of LMIs are established. Finally, a numerical example is given to illustrate the effectiveness of our theoretical results and less conservativeness of the proposed method.