标题： 关于具有应用的随机字符串稳定性在加性噪声信道编队中的应用 显示英文标题

标题： On stochastic string stability with applications to platooning over additive noise channels

摘要： 本文研究了在车辆编队中存在随机现象的车车间通信时的字符串稳定性问题。 为了实现这一点，我们首先提供两个定义，以在统计情况下分析评估字符串稳定性，考虑跟踪误差的均值和方差随着编队规模的增长。 随后，我们分析推导出在通过加性白噪声信道通信的前车跟随线性编队中实现这种字符串稳定性概念的必要且充分条件。 我们得出结论，确保理想通信下字符串稳定性的条件本质上与在存在加性噪声信道时实现统计字符串稳定性条件相同，并保证跟踪误差的均值和方差收敛。 显示英文摘要

摘要： This paper addresses the string stabilization of vehicular platooning when stochastic phenomena are inherent in inter-vehicle communication. To achieve this, we first provide two definitions to analytically assess the string stability in stochastic scenarios, considering the mean and variance of tracking errors as the platoon size grows. Subsequently, we analytically derive necessary and sufficient conditions to achieve this notion of string stability in predecessor-following linear platoons that communicate through additive white noise channels. We conclude that the condition ensuring string stability with ideal communication is essentially the same that achieves stochastic string stability when additive noise channels are in place and guarantees that the tracking error means and variances converge.