带随机扰动的耦合谐振子网络系统的同步  

Synchronization of Networked Harmonic Oscillator Systems with Stochastic Perturbations

作　　者：杨伟 张华 叶志勇 武晓慧 韩宝如 YANG Wei;ZHANG Hua;YE Zhiyong;WU Xiaohui;HAN Baoru(College of Science, Chongqing University of Technology, Chongqing 400054, China;Big Data Institute of Tongren Univesity, Tongren 554300, China;College of Medical Information, Chongqing Medical University, Chongqing 400016, China)

机构地区：[1]重庆理工大学理学院,重庆400054 [2]铜仁学院大数据学院,贵州铜仁554300 [3]重庆医科大学医学信息学院,重庆400016

出　　处：《重庆理工大学学报（自然科学）》2019年第4期196-202,共7页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(61364003);重庆市教委科学技术项目(KJQN201800442)

摘　　要：研究了一种带随机扰动输入项的耦合谐振子网络系统的同步动力学。针对实际工程应用中数据难免带有各种随机扰动等现象,基于相对位移信息耦合优点,设计了一个在一般条件下适用的分布式控制输入协议。利用随机微分方程的稳定性理论以及伊藤(It?)公式等工具,分析了耦合谐振子网络系统在这个协议下的同步动力学,得到了系统达到几乎处处同步的一个充分条件。数值模拟进一步验证了该理论结果的正确性和协议的有效性。In this paper, the synchronization dynamics of a networked harmonic oscillators system with stochastic input terms was studied. Aiming at the stochastic perturbation of data in practical engineering application, a distributed control input protocol was designed based on the advantage of relative displacement information coupling. By using the stability theory of stochastic differential equation and It formula, the synchronization dynamics of networked harmonic oscillators system under this protocol is analyzed, and a sufficient condition for the system to achieve almost surely synchronization is obtained. The numerical simulations further verify the correctness of the theoretical results and the effectiveness of the protocol.

关 键 词：谐振子网络系统 随机扰动 几乎处处同步 Fiedler特征值 多智能体系统 

分 类 号：O231.3[理学—运筹学与控制论]