| hZ时标上带有限分布时滞的集群行为的动力学研究 |
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| 引用本文： | 肖强,黄振坤.hZ时标上带有限分布时滞的集群行为的动力学研究[J].集美大学学报(自然科学版),2015,0(6):470-474. |
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| 作者姓名： | 肖强 黄振坤 |
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| 作者单位： | （集美大学理学院，福建 厦门 361021） |
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| 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.
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| 关 键 词： | 集群 时滞 聚集行为 hZ时标 |
Cohesive Dynamics of Swarms with Finite-distributed Delays on hZ Time Scale |
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| XIAO Qiang,HUANG Zhen-kun.Cohesive Dynamics of Swarms with Finite-distributed Delays on hZ Time Scale[J].the Editorial Board of Jimei University(Natural Science),2015,0(6):470-474. |
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| Authors: | XIAO Qiang HUANG Zhen-kun |
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| Institution: | (School of Science,Jimei University,Xiamen 361021,China) |
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| Abstract: | 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. |
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| Keywords: | swarm time delays collective behavior hZ time scale |
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