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

被引：0
|
作者：
Xue, Yuanyuan [1 ,2 ]
Zhang, Yu [1 ,2 ]
Li, Jie [1 ,2 ]
机构：
[1] Tongji Univ, Sch Math Sci, Shanghai, Peoples R China
[2] Tongji Univ, Key Lab Intelligent Comp & Applicat, Minist Educ, Shanghai, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 06期
关键词：
event-triggered impulsive control; exponential stability; genetic regulatory network; time-varying delay; STABILITY ANALYSIS; DISCRETE-TIME; EXPONENTIAL STABILITY; SYSTEMS; SYNCHRONIZATION;
D O I：
10.1002/mma.9848
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：4970 / 4988
页数：19
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