Stabilization of genetic regulatory networks with time‐varying delays via event‐triggered impulsive control

Abstract

This paper considers the exponential stabilization of genetic regulatory networks (GRNs) with time‐varying delays by means of event‐triggered impulsive control (ETIC). Firstly, an ETIC strategy is designed, and impulse instants are determined by the state of the system. Then, some sufficient conditions for exponential stability of the GRNs with time‐varying delays under the proposed ETIC are established by Lyapunov functions together with Razumikhin technique. Also, it's shown that Zeno behavior can be eliminated in the designed strategy. Finally, two numerical examples are given to illustrate the effectiveness of the presented results.