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

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.

Automated summary

This paper investigates the exponential stabilization of genetic regulatory networks with time-varying delays using event-triggered impulsive control. An ETIC strategy is designed and sufficient conditions for the exponential stability of GRNs with time-varying delays under this strategy are established using Lyapunov functions and Razumikhin technique. The designed strategy is also shown to eliminate Zeno behavior. Two numerical examples are provided to demonstrate the effectiveness of the proposed results.