| 无限维随机车辆跟随系统的稳定性分析 |
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| 引用本文： | 施继忠,张继业,徐晓惠.无限维随机车辆跟随系统的稳定性分析[J].华中科技大学学报(自然科学版),2012,40(10):105-109. |
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| 作者姓名： | 施继忠 张继业 徐晓惠 |
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| 作者单位： | 1. 浙江师范大学工学院,浙江金华321004 西南交通大学牵引动力国家重点实验室,四川成都610031
2. 西南交通大学牵引动力国家重点实验室,四川成都,610031 |
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| 基金项目： | 国家自然科学基金资助项目(11172247,50823004,60974132);安徽高校自然科学研究项目(KJ2011B102) |
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| 摘 要： | 为了提高自动高速公路车辆纵向跟随控制系统的稳定性，基于随机因素建立了无限维随机关联系统模型．运用向量李雅普诺夫函数法研究了无限维随机车辆跟随系统的指数群稳定性，分别得到了一类无限维“顾前”型和一类“顾前顾后”型随机车辆纵向跟随系统指数群稳定性的充分性判据，为随机车辆纵向跟随系统的控制器设计提供了理论基础．
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| 关 键 词： | 随机微分方程 无限维 随机车辆跟随系统 指数群稳定性 向量李雅普诺夫函数 |
Analyzing the stability of infinite-dimension stochastic vehicle-following systems |
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| Shi Jizhong,Zhang Jiye,Xu Xiaohui.Analyzing the stability of infinite-dimension stochastic vehicle-following systems[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2012,40(10):105-109. |
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| Authors: | Shi Jizhong Zhang Jiye Xu Xiaohui |
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| Institution: | 1 College of Engineering,Zhejiang Normal University,Jinhua 321004,Zhejiang China; 2 Traction Power State Key Laboratory,Southwest Jiaotong University,Chengdu 610031,China) |
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| Abstract: | To study the stability of longitudinal following control systems of vehicles in automated highway systems.The exponential string stability for the vehicle following system was studied by applying vector Lyapunov function.The sufficient conditions of the exponential string stability for the infinite-dimension "look ahead" stochastic vehicles-following system and the "look both ahead and behind" stochastic vehicles-following system were obtained,which provides theoretical basis in the design of stochastic longitudinal vehicle following controllers. |
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| Keywords: | sticgastic differential equation infinite-dimension stochastic vehicle following system exponential string stability vector Lyapunov function |
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