应用数学2025,Vol.38Issue(2):394-401,8.
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
摘要
Abstract
In this paper,the stability and synchronization for a class of genetic regulatory net-works(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 drive-response 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Key words
Genetic regulatory networks/Global exponential stability/Global synchronization/Matrix measure分类
数理科学引用本文复制引用
王婧婧,龙志文..一类具有时变时滞基因调控网络的稳定性和同步性[J].应用数学,2025,38(2):394-401,8.基金项目
国家自然科学基金(11601007) (11601007)
安徽省自然科学基金(208085MA04) (208085MA04)
安徽省教育厅高校优秀人才支持计划项目(xyqZD2022035) (xyqZD2022035)
湖南省自科基金项目(2024JJ7256) (2024JJ7256)
湖南省教育厅科学研究重点项目(23A0616) (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) (CSBD2022-ZD02)