一类具有时变时滞基因调控网络的稳定性和同步性  

Stability and Synchronization for a Class of Genetic Regulatory Networks with Time-varying Delays

作　　者：王婧婧 龙志文 WANG Jingjing;LONG Zhiwen(School of Mathematics and Big Data,Anhui University of Science and Technology,Huainan 232001,China;Anhui Province Engineering Laboratory for Big Data Analysis and Early Warning Technology of Coal Mine Safety,Huainan 232001,China;School of Mathematics and Finance,Hunan University of Humanities,Science and Technology,Loudi 417000,China)

机构地区：[1]安徽理工大学数学与大数据学院,安徽淮南232001 [2]安徽省煤矿安全大数据分析与预警技术工程实验室,安徽淮南232001 [3]湖南人文科技学院数学与金融学院,湖南娄底417000

出　　处：《应用数学》2025年第2期394-401,共8页Mathematica Applicata

基　　金：国家自然科学基金(11601007);安徽省自然科学基金(208085MA04);安徽省教育厅高校优秀人才支持计划项目(xyqZD2022035);湖南省自科基金项目(2024JJ7256);湖南省教育厅科学研究重点项目(23A0616);安徽省煤矿安全大数据分析与预警技术工程实验室开放基金(CSBD2022-ZD02)。

摘　　要：本文研究一类具有时变时滞基因调控网络的稳定性和同步性问题.利用矩阵测度理论和Halanay不等式,建立了所研究模型全局指数稳定性的充分判据,并通过设计反馈控制器,获得了关于驱动-响应基因调控网络的全局指数同步判据.所建立理论结果补充并完善了已有文献的结论.最后,通过数值实例说明了理论结果的正确性.In this paper,the stability and synchronization for a class of genetic regulatory networks(GRNs)with time-varying delays are discussed.We first establish sufficient criteria for the global exponential stability of the equilibrium by using matrix measure and Halanay inequality.In addition,by designing feedback controllers,we establish the global exponential synchronization criteria for the driveresponse gene regulatory networks.The obtained theoretical results supplement and complete the existing ones.Finally,a numerical example is given to illustrate the correctness of our theoretical results.

关 键 词：基因调控网络 全局指数稳定性 全局同步 矩阵测度 

分 类 号：O29[理学—应用数学]