摘要
研究了hZ时标上包含有限分布时滞的基于吸引/排斥函数的群聚模型.基于Lyapunov稳定性方法和时标理论,研究了集群的稳定性,证明了所有个体在有限时间会聚集到一个有限区域.最后,给出了一些模拟结果来验证结果的有效性.
In this paper,a swarm model based on attraction/repulsion functions with finite-distributed delays on hZ time scale was investigated. The stability of the swarm based on Lyapunov stability method and theory of time scales was studied. It was shown that all the members of the swarm will eventually gather into a bounded region in finite time. In the end,simulation results were presented to illustrate the effectiveness of our results.
出处
《集美大学学报（自然科学版）》
CAS
2015年第6期470-474,共5页
Journal of Jimei University：Natural Science
基金
国家自然科学基金资助项目(61573005
11361010)
福建省自然科学基金资助项目(2012J06001)
关键词
集群
时滞
聚集行为
hZ时标
swarm
time delays
collective behavior
hZ time scale
