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主从多智能体网络快速随机一致性
引用本文:吕淑玲,侍红军,刘峰. 主从多智能体网络快速随机一致性[J]. 山东大学学报(自然科学版), 2014, 0(1): 65-70,79
作者姓名:吕淑玲  侍红军  刘峰
作者单位:[1]江苏省徐州医药高等职业学校,江苏徐州221116 [2]中国矿业大学理学院,江苏徐州221008
基金项目:国家自然科学基金资助项目(11226150,61203304);中央高校基本科研业务费专项资金资助项目(2011QNA26,2013XK03);国家级大学生创新训练计划资助项目(201210290089)
摘    要:
通过设计简单的控制器,利用随机微分方程的有限时间稳定性理论,给出了多智能体网络实现随机一致性的充分条件,并分析了控制参数与噪声强度对网络收敛速度与收敛时间的影响。数值模拟验证了理论结果的正确性。

关 键 词:多智能体网络  有限时间一致性  噪声

Fast stochastic consensus of leader-following multi-agent network
Lü Shu-ling,SHI Hong-jun,LIU Feng. Fast stochastic consensus of leader-following multi-agent network[J]. Journal of Shandong University(Natural Science Edition), 2014, 0(1): 65-70,79
Authors:Lü Shu-ling  SHI Hong-jun  LIU Feng
Affiliation:1. Jiangsu Xuzhou Medicine Vocational School, Xuzhou 221116, Jiangsu, China; 2. School of Science, China University of Mining and Technology, Xuzhou 221008, Jiangsu, China)
Abstract:
By using the finite-time stability theory of stochastic differential equations and adding a simple protocol, it was proved that the leader-following multi-agent network can reach the consensus in finite time with probability one. The effects of control parameters and noise strength on the convergence speed and time were also analyzed. Further- more, numerical examples were provided to illustrate the effectiveness of the theoretical results.
Keywords:multi-agent network  finite-time consensus  noise
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