摘要
针对应用实际,文章研究了具有等级制度和时间延迟的多智能体复杂系统的集群行为.通过建立时滞微分不等式和构造Lyapunov函数,分别获得了三类具有等级制度和时间延迟系统的条件集群和无条件集群结果.条件集群的结果揭示了初始条件对系统集群行为的影响规律,最后给出了保证系统集群行为形成的时间延迟取值范围.
In this paper,the flocking behavior of multi-agent system with hierarchical structure and time delay comes from practical projects is studied.By establishing delay differential inequalities and constructing Lyapunov functions,the results of conditional flocking and unconditional flocking of three types systems with hierarchical structure and time delay are obtained.The statements of conditional flocking reveal the impacts of initial conditions on the flocking behavior and the range of time delay to ensure the flocking behavior is also established.
作者
程建飞
王晓
CHENG Jianfei;WANG Xiao(Department of Mathematics,College of Liberal Arts and Sciences,National University of Defense Technology,Changsha 410073,China)
出处
《应用泛函分析学报》
2020年第1期1-12,共12页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(11671011)。
关键词
多智能体系统
集群
时间延迟
等级制度
multi-agent system
flocking
time delay
hierarchical structure
