Stability analysis of swarms with interaction time delays

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• 作者：Qun Liu^a ; ^{liuqun@cqupt.edu.cn} ; ^{liuqunsy@x263.net} ; Lanfen Wang^a ; Xiaofeng Liao^b
• 关键词：Collective behavior ; Time delays ; Environment profiles ; Aggregation ; Swarms
• 刊名：Information Sciences
• 出版年：2012
• 期刊代码：62_00200255
• 类别：cp
• 出版时间：1 June, 2012
• 卷：192
• 期：Complete
• 页码：244-254
• 文件大小：3116 K

摘要

This paper investigates the collective behavior of a general swarm model with communication time delays under different environment profiles, and the complex dynamic behavior of the delayed swarm model along a plane and a quadratic attractant/repellent profile are analyzed respectively too. It turns out that the swarm members can eventually converge to a finite region under certain conditions and the time delay plays an important role in the dynamic behavior of swarms. Finally numerical simulation results indicate that our theoretical analysis is correct.