快速路交通微分系统的脉冲迭代学习策略研究
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引用本文:周 荧1,罗子健2,韦 维3.快速路交通微分系统的脉冲迭代学习策略研究[J].经济数学,2018,(4):102-105
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作者单位
周 荧1,罗子健2,韦 维3 (1.贵州大学 数学与统计学院贵州 贵阳 550025
2.西南财经大学 经济信息工程学院四川 成都 611130
3.贵州民族大学 数据科学与信息工程学院贵州 贵阳 550025) 
中文摘要:针对快速路交通微分系统,结合该交通系统具有明显的重复性和周期性等特点,设计了一种脉冲迭代学习策略,并建立了迭代学习误差的收敛性条件. 其次,利用λ范数和脉冲Gronwall不等式等方法证明了算法的收敛性.结合脉冲控制与学习控制的特点,该方法的优点在于容易实现和经济环保,且能有效地达到控制目的.最后,通过数值仿真实证进一步说明所设计控制方法的有效性.
中文关键词:脉冲控制  迭代学习策略  交通流
 
Research on Impulsive Iterative Learning Strategy of Expressway Traffic Differential System
Abstract:Combined with the characteristics of the traffic system with notable repeatability and periodicity,an impulsive iterative learning strategy was designed for the fast road traffic differential system.The convergence conditions of iterative learning errors were established at first.Secondly, the convergence of the algorithm was proved by the methods of λ norm and impulsive Gronwall inequality.According to the characteristics of impulsive control and learning control,one of the characteristics of this method is that it is easy to implement as well as economical and environmentally friendly,and it can also effectively achieve control purposes.Finally, the effectiveness of the designed control method was illustrated by numerical simulation examples.
keywords:impulsive control  iterative learning strategy  traffic flow
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