{"title":"Stability Analysis of Swarm with Gaussian Attractant/Repellent Profiles","authors":"Bo Liu, Yanchao Yu, Jie Zhang","doi":"10.1109/JCAI.2009.183","DOIUrl":null,"url":null,"abstract":"This paper considers a swarm model with a general attraction-repulsion function involving variable communication time lags and an attractant/repellent. It is proved that for Gaussian attractant/repellent profiles the individuals of the swarm with time delays will aggregate and form a cohesive cluster of finite size in a finite time. Moreover, all the swarm individuals will converge to more favorable areas of the gaussian attractant/repellent profiles under certain conditions in the presence of communication delays.","PeriodicalId":154425,"journal":{"name":"2009 International Joint Conference on Artificial Intelligence","volume":"85 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Joint Conference on Artificial Intelligence","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/JCAI.2009.183","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
This paper considers a swarm model with a general attraction-repulsion function involving variable communication time lags and an attractant/repellent. It is proved that for Gaussian attractant/repellent profiles the individuals of the swarm with time delays will aggregate and form a cohesive cluster of finite size in a finite time. Moreover, all the swarm individuals will converge to more favorable areas of the gaussian attractant/repellent profiles under certain conditions in the presence of communication delays.
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