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The Stability Analysis for an Extended Car Following Model Based on Control Theory

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Chinese Physics Letters 2014年第8期31卷 20-23页

作者：葛红霞孟祥佩朱克强程荣军 FacultyofMaritimeandTransportation NingboUniversityNingbo315200 JiangsuProvinceCollaborativeInnovationCenterforModernUrbanTrafficTechnologies Nanjing210096 NationalTrafficManagementEngineeringandTechnologyResearchCentre NingboUniversityNingbo315211 FoundationCollege NingboDahongyingUniversityNingbo315175 DepartmentofFhndamentalCourse NingboInstituteofTechnologyZhejiangUniversityNingbo315100

A new method is proposed to study the stability of the car-following model considering traffic interruption probability. The stability condition for the extended ear-following model is obtained by using the Lyapunov function and the condition for no traffic jam is also given based on the control theory. Numerical simulations are conducted to demonstrate and verify the analytical results. Moreover, numerical simulations show that the traffic interruption probability has an influence on driving behavior and confirm the effectiveness of the method on the stability of traffic flow.

关键词： CONTROL theory (Mathematics) RESEARCH LYAPUNOV functions DIFFERENTIAL equations COMPUTER simulation TRAFFIC flow

斜坡道路考虑平均流量差预期效应的格子流体力学模型

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上海大学学报（自然科学版） 2020年第3期26卷 367-381页

作者：魏麒常银银葛红霞程荣军宁波财经学院国际经济贸易学院浙江宁波315175 宁波大学海运学院浙江宁波315211

为了研究斜坡道路上平均流量差预期效应对交通流的影响,提出了一种改进的格子流体动力学模型.采用控制理论方法得到了改进模型的线性稳定条件,并利用约化摄动法得到了稳定性临界点附近的mKdV方程,用以描述交通密度波的演变特征.通过数... 详细信息

为了研究斜坡道路上平均流量差预期效应对交通流的影响,提出了一种改进的格子流体动力学模型.采用控制理论方法得到了改进模型的线性稳定条件,并利用约化摄动法得到了稳定性临界点附近的mKdV方程,用以描述交通密度波的演变特征.通过数值模拟演示了考虑平均流量差预期效应的交通流的演变过程,并验证了理论分析的结果.模拟结果显示,在坡度公路上考虑平均流量差预期效应有利于缓解交通拥堵.

关键词：平均流量差预期效应坡度格子流体力学模型反馈控制

A control method applied to mixed traffic flow for the coupled-map car-following model

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Chinese Physics B 2014年第3期23卷 193-200页

作者：程荣军韩祥临卢兆明葛红霞 Department of Fundamental Course Ningbo Institute of Technology Zhejiang University School of Science Huzhou Teachers College Department of Civil and Architectural Engineering City University of Hong Kong Faculty of Maritime and Transportation Ningbo University

In light of previous work [Phys. Rev. E 60 4000 （1999）], a modified coupled-map car-following model is proposed by considering the headways of two successive vehicles in front of a considered vehicle described by the optimal velocity function. The non-jam conditions are given on the basis of control theory. Through simulation, we find that our model can exhibit a better effect as p = 0.65, which is a parameter in the optimal velocity function. The control scheme, which was proposed by Zhao and Gao, is introduced into the modified model and the feedback gain range is determined. In addition, a modified control method is applied to a mixed traffic system that consists of two types of vehicle. The range of gains is also obtained by theoretical analysis. Comparisons between our method and that of Zhao and Gao are carried out, and the corresponding numerical simulation results demonstrate that the temporal behavior of traffic flow obtained using our method is better than that proposed by Zhao and Gao in mixed traffic systems.

关键词： traffic flow coupled-map car-following model optimal velocity function feedback control schemesystem

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有关LUCAS序列的几个充要条件

安徽师范大学学报（自然科学版） 2004年第1期27卷 1-4页

作者：程荣军周方敏安徽师范大学数学计算机科学学院安徽芜湖241000

Lucas序列Un(u)和Vn(u)定义为:U0=0,V0=2,U1=1,V1=u,Un=uUn-1-Un-2,Vn=uVn-1-Vn-2,n≥2.本文分别给出了同余式组　　　　　　UN+r(u)≡0modNVN+r(u) 2modN,UN+r(u) 0modNVN+r(u)≡2modN和UN+r(u) 0modNVN+r(u) 2modN成立的几个充要条件... 详细信息

关键词： LUCAS序列整数分解素性测定计算数论同余

The KdV-Burgers equation in a modified speed gradient continuum model

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Chinese Physics B 2013年第6期22卷 289-293页

作者：赖玲玲程荣军李志鹏葛红霞 Faculty of Science Ningbo University Ningbo Institute of Technology Zhejiang University College of Electronics and Information Engineering Tongji University

Based on the full velocity difference model, Jiang et al. put forward the speed gradient model through the micromacro linkage （Jiang R, Wu Q S and Zhu Z J 2001 Chin. Sci. Bull 46 345 and Jiang R, Wu Q S and Zhu Z J 2002 Trans. Res. B 36 405）. In this paper, the Taylor expansion is adopted to modify the model. The backward travel problem is overcome by our model, which exists in many higher-order continuum models. The neutral stability condition of the model is obtained through the linear stability analysis. Nonlinear analysis shows clearly that the density fluctuation in traffic flow leads to a variety of density waves. Moreover, the Korteweg-de Vries-Burgers （KdV-Burgers） equation is derived to describe the traffic flow near the neutral stability line and the corresponding solution for traffic density wave is derived. The numerical simulation is carried out to investigate the local cluster effects. The results are consistent with the realistic traffic flow and also further verify the results of nonlinear analysis.

关键词： traffic flow the speed gradient model KdV-Burgers equation

绿色情怀华彩人生——内蒙古呼伦贝尔市海拉尔图腾实用技术研究所所长徐禄

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环境与发展 2011年第5期23卷 I0009-I0010页

作者：段艳文韩嘉程荣军《北方环境》编辑部

本期特别栏目，我们将为您介绍内蒙古呼伦贝尔市海拉尔图腾实用技术研究所所长徐禄。徐禄，草原改良专家，谢尔塔拉牧场图腾实用技术研究所的创始人，曾获全国星火先进工作者，呼伦贝尔盟科学技术进步奖，海拉尔市科学技术进步奖等，并... 详细信息

本期特别栏目，我们将为您介绍内蒙古呼伦贝尔市海拉尔图腾实用技术研究所所长徐禄。徐禄，草原改良专家，谢尔塔拉牧场图腾实用技术研究所的创始人，曾获全国星火先进工作者，呼伦贝尔盟科学技术进步奖，海拉尔市科学技术进步奖等，并获得多项国家专利。

关键词：呼伦贝尔市实用技术海拉尔市研究所内蒙古图腾所长科学技术进步奖

“互联网+大班授课小班辅导”教学模式探索——浙江大学宁波理工学院《微积分》教学实践研究

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中国教育信息化 2016年第18期22卷 20-23页

作者：吴用程荣军李莎莎浙江大学宁波理工学院信息科学与工程学院浙江宁波315100 宁波大学海运学院浙江宁波315100

"大班授课小班辅导"是近几年国内外采取的新型合作性教学模式,"互联网+教育"的发展为教学模式提供了新的平台,能弥补"大班授课小班辅导"的一些弊端。文章通过两者的有机结合,取长补短,构建了"互联网+大班授课小班辅导"教学新模式,应用... 详细信息

"大班授课小班辅导"是近几年国内外采取的新型合作性教学模式,"互联网+教育"的发展为教学模式提供了新的平台,能弥补"大班授课小班辅导"的一些弊端。文章通过两者的有机结合,取长补短,构建了"互联网+大班授课小班辅导"教学新模式,应用于公共数学课。浙江大学宁波理工学院根据该模式进行了《微积分》课程的教学实践,结果表明该模式能更好地激发学生学习兴趣,培养学生学习能力,促进教学有效性。

关键词：互联网+ 大班授课小班辅导公共数学教学模式

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Solving unsteady Schr?dinger equation using the improved element-free Galerkin method

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Chinese Physics B 2016年第2期25卷 35-43页

作者：程荣军程玉民 Faculty of Maritime and Transportation Ningbo University Ningbo 315211 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China

By employing the improved moving least-square （IMLS） approximation, the improved element-free Galerkin （IEFG） method is presented for the unsteady Schrodinger equation. In the IEFG method, the two-dimensional （2D） trial function is approximated by the IMLS approximation, the variation method is used to obtain the discrete equations, and the essential boundary conditions are imposed by the penalty method. Because the number of coefficients in the IMLS approximation is less than in the moving least-square （MLS） approximation, fewer nodes are needed in the entire domain when the IMLS approximation is used than when the MLS approximation is adopted. Then the IEFG method has high computational efficiency and accuracy. Several numerical examples are given to verify the accuracy and efficiency of the IEFG method in this paper.

关键词： meshless method improved moving least-square (IMLS) approximation improved element-freeGalerkin (IEFG) method Schr6dinger equation

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任意域上多项式的几个性质

安徽师范大学学报（自然科学版） 2005年第4期28卷 383-385页

作者：周方敏程荣军安徽师范大学数学与计算机科学学院安徽芜湖241000

给出了特征为零的域上两个多项式的某线性组合无重因式的几个特征性质,给出了由这两个多项式线性组合生成的多项式有重因式的个数的一个上界.这个上界小于已有文献的结果,在某些方面有较大的改进.

关键词：域特征重根重因式