Event-Triggered Pinning Impulsive Control for Cluster Synchronization of Coupled Genetic Oscillator Networks With Proportional Delay

被引：10

作者：

Lv, Xiaoxiao ^{[1
]}

Cao, Jinde ^{[2
,3
]}

Li, Xiaodi ^{[4
,5
]}

Ragulskis, Minvydas ^{[6
]}

机构：

[1] Qingdao Univ, Sch Automat, Qingdao 266071, Peoples R China

[2] Southeast Univ, Frontiers Sci Ctr Mobile Informat Commun & Secur, Sch Math, Nanjing 211189, Peoples R China

[3] Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South Korea

[4] Shandong Normal Univ, Ctr Control & Engn Computat, Jinan 250014, Peoples R China

[5] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China

[6] Kaunas Univ Technol, Sch Math & Nat Sci, LT-51368 Kaunas, Lithuania

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2023年 / 53卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Cluster synchronization; coupled genetic oscillator networks (GONs); event-triggered pinning impulsive control (ETPIC); Lyapunov-Razumikhin method; proportional delay; REGULATORY NETWORKS; STABILITY; SYSTEMS;

D O I：

10.1109/TSMC.2023.3285034

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article considers the cluster synchronization of coupled genetic oscillator networks (GONs) with proportional delay via the event-triggered pinning impulsive control (ETPIC). First, a novel Lyapunov-dependent event-triggered rule for impulsive functional differential equation that includes proportional delay is proposed by means of a new auxiliary function and the improved Lyapunov-Razumikhin method, which is different from the previous results. And then, a Lyapunov-dependent ETPIC rule is first designed, which integrates the pinning control with the established event-triggered impulsive control. On this basis, some new cluster synchronization criteria for coupled GONs with proportional delay are derived in the light of linear matrix inequalities. Note that the triggering impulsive instant is determined by the designed ETPIC rule, and only a fraction of nodes of each cluster are controlled at each triggering instant according to the designed algorithm. Finally, a numerical example is provided to show the effectiveness of the proposed approach.

引用

页码：6306 / 6315

页数：10