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中文摘要：
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．
英文摘要：
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 ap- plying 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 be- hind＂ stochastic vehicles-following system were obtained, which provides theoretical basis in the de- sign of stochastic longitudinal vehicle following controllers.
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