自由环境下的信息延滞群集行为研究  

Information Delay Clustering Behavior in Free Environment

作　　者：王娜[1] 赵雁楠[1] WANG Na;ZHAO Yannan(College of Computer Information Engineering,Shanxi Technology and Business College,Taiyuan 030006,China)

机构地区：[1]山西工商学院计算机信息工程学院,山西太原030006

出　　处：《忻州师范学院学报》2023年第2期7-11,21,共6页Journal of Xinzhou Teachers University

基　　金：山西省教育科学“十四五规划”课题(GH-220181);山西省高等学校科技创新项目(2020L0738)。

摘　　要：群集系统中个体间信息交流间存在的时间延滞,是影响群集动力学行为的一个重要因素。信息延滞会降低群集系统的性能,使系统产生动荡和不稳定。因此,对信息延滞群集系统的稳定性分析非常具有重要的现实、理论意义。在自由环境下,当模型中个体信息交流存在时间延滞时,通过研究群集系统中个体的聚集行为,理论上证明信息延滞群集系统中的个体会随着时间演变最终会围绕中心聚集在一个确定半径的超球体内,并针对个体行为进行稳定性分析,证明所有个体进入收敛区域后最终都会静止于群集收敛的区域。The time lag of information exchange between individuals is an important factor affecting the behavior of cluster dynamics.Information lag will degrade the performance of the cluster system,resulting in system turbulence and instability.Therefore,the stability analysis of information delay cluster system is of great practical and theoretical significance.In a free environment,when the model existed in individual communication time delay,by studying the aggregation behavior of the individuals in the cluster system,theoretically proves the individuals delay information cluster system,over time,evolution will eventually gathered around the center within a certain radius of the ball,and carries on the stability analysis on individual behavior,It is proved that all individuals entering the region of convergence will eventually rest in the region of cluster convergence.

关 键 词：信息延滞 群集系统 稳定性分析 聚集 收敛 

分 类 号：O152.5[理学—数学]