随机扰动下具有分布式时滞的多权重网络指数同步  

Exponential synchronization of multi-weighted networks with distributed delays under stochastic disturbances

作　　者：李文治 胡元发 刘小洋 Li Wenzhi;Hu Yuanfa;Liu Xiaoyang(School of Computer Science&Technology,Jiangsu Normal University,Xuzhou 221116,Jiangsu,China)

机构地区：[1]江苏师范大学计算机科学与技术学院,江苏徐州221116

出　　处：《江苏师范大学学报（自然科学版）》2024年第1期60-66,共7页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(62276119);江苏师范大学研究生科研与实践创新计划项目(2022XKT1552)。

摘　　要：研究随机扰动下具有分布式时滞的多权重网络指数同步问题.鉴于分布式时滞和随机扰动给控制系统所带来的不确定性以及多权重网络具有的灵活性和普适性,通过设计有效的控制协议,利用伊藤引理和不等式技巧,选取合适的Lyapunov函数,得到多权重网络实现指数同步的充分性条件,并通过数值仿真验证理论结果的有效性.The exponential synchronization of multi-weighted networks with distributed delays and stochastic disturbances is investigated.Considering the uncertainty caused by distributed delays and stochastic disturbances in control systems,as well as the flexibility and universality of multi-weighted networks,an effective control protocol is designed.By using Ito's lemma,inequality techniques and a suitable Lyapunov function,some sufficient conditions are obtained to ensure the exponential synchronization of multi-weighted networks.Then,a numerical simulation is given to validate the effectiveness of the theoretical results.

关 键 词：多权重网络 随机扰动 分布式时滞 指数同步 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O193[自动化与计算机技术—控制科学与工程]