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Swarm模型突现行为的动力学特性分析

吴渝 杨晶晶 王利

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Swarm模型突现行为的动力学特性分析

吴渝, 杨晶晶, 王利

Kinetic property analysis of emergent behaviors in Swarm model

Wu Yu, Yang Jing-Jing, Wang Li
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  • 突现是复杂系统的重要特性之一,但目前在突现行为的起因方面缺乏明确的理论依据. 以Swarm模型为研究对象,为便于理论分析,首先给出了该模型的具体定义. 选取了适当的动力学特征,引入Swarm能量属性,发现在特定条件下发生突现行为后,各动力学参量均方差具有一定的取值范围. 随后通过仿真实验验证了这一结论的合理性. 结果表明,在特定条件下,通过设定初始状态及模型参数,可以有效约束Swarm模型的整体行为.
    Emergence is one of the important characteristics of complex systems. At present, there is no definite conclusion on what emergence is and how it happens. Swarm model is selected for theoretical research. For convenience of doing so, its specific definition is given, and then the kinetic properties of this model are analyzed. By viewing the energy property, it is proven that under special circumstances the mean square deviation of each kinetic parameter would fall into a certain value space. Experimental results show that under certain conditions, by setting the initial state and parameters of the control equations, the behavior of Swarm can be effectively constrained.
    • 基金项目: 国家自然科学基金(批准号:60873079,61040044)、重庆市(重点)自然科学基金(批准号:2009BA2089,2008BB2241)、教育部新世纪优秀人才支持计划(批准号:NCET,教技司[2008]274号)和重庆邮电大学自然科学基金(批准号:A2009-57)资助的课题.
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    Li L X, Luo Q, Peng HP, Wu W, Yang Y X 2008 Acta Phys. Sin. 57 1529(in Chinese)[李丽香、 罗 群、 彭海朋、 吴 薇、杨义先 2008 物理学报 57 1529]

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    Reza O S 2006 IEEE Transaction on Automatic Control 2006 p401

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    Chen S M, Fang J H 2006 Proceedings of the 6th World Congress on Control and Automation Dalian, China, June 2123 2006, p526

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    Pedrami R, Gordon B W 2007 Proceedings of the 2007 American Control Conference New York, 2007, p1894

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    Wang S F, Zhu H. An 2007 Proceedings of 2007 IEEE Congress on Evolutionary Computation Singapore, 2007 September 2528, p3239

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    Wu Y, Zhou K, Su J 2008 Communications of SIWN 4 64

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    Wu Y, Zhou K, Li Y G, 2010 Control Theory Applications 27 1086(in Chinese)[吴 渝、 周 凯、 李银国 2010 控制理论与应用 27 1086]

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    Wang X F, Su H S, 2008 Advances in Mechanics 38 751(in Chinese)[汪小帆、 苏厚胜 2008 力学进展 38 751]

  • [1]

    Brunner K A 2002 European Meeting on Cybernetics and Systems Research Vienna, Austria, April 2002, p189

    [2]
    [3]

    He Z B, Ma S F, He G G 2010 Acta Phys. Sin. 59 171(in Chinese)[贺正冰、 马寿峰 2010 物理学报 59 171]

    [4]

    Sun Y Z, Yuan J, Li W 2008 Acta Phys. Sin. 57 7548(in Chinese)[孙永征、 阮 炯、 李 望 2010 物理学报 59 171]

    [5]
    [6]
    [7]

    Li L X, Luo Q, Peng HP, Wu W, Yang Y X 2008 Acta Phys. Sin. 57 1529(in Chinese)[李丽香、 罗 群、 彭海朋、 吴 薇、杨义先 2008 物理学报 57 1529]

    [8]

    Kwong H 2003 IEEE Congress on Evolutionary Computation Canberra, Australia December 812 2003, p1029

    [9]
    [10]
    [11]

    Reynolds C 1987 Computer Graphics 21 25

    [12]
    [13]

    Li Z P, Sim C H 2006 IEEE International Conference on Industrial Informatics Singapore, Aug 1618 2006, p1295

    [14]
    [15]

    Liu M G, 2009 Chinese Journal of Systems Science 17 67(in Chinese)[刘明广 2009 系统科学学报 17 67]

    [16]

    Reza O S 2006 IEEE Transaction on Automatic Control 2006 p401

    [17]
    [18]
    [19]

    Chen S M, Fang J H 2006 Proceedings of the 6th World Congress on Control and Automation Dalian, China, June 2123 2006, p526

    [20]
    [21]

    Pedrami R, Gordon B W 2007 Proceedings of the 2007 American Control Conference New York, 2007, p1894

    [22]

    Wang S F, Zhu H. An 2007 Proceedings of 2007 IEEE Congress on Evolutionary Computation Singapore, 2007 September 2528, p3239

    [23]
    [24]
    [25]

    Wu Y, Zhou K, Su J 2008 Communications of SIWN 4 64

    [26]
    [27]

    Wu Y, Zhou K, Li Y G, 2010 Control Theory Applications 27 1086(in Chinese)[吴 渝、 周 凯、 李银国 2010 控制理论与应用 27 1086]

    [28]
    [29]

    Wang X F, Su H S, 2008 Advances in Mechanics 38 751(in Chinese)[汪小帆、 苏厚胜 2008 力学进展 38 751]

计量
  • 文章访问数:  7530
  • PDF下载量:  640
  • 被引次数: 0
出版历程
  • 收稿日期:  2010-12-17
  • 修回日期:  2011-01-26
  • 刊出日期:  2011-05-05

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