String Instability in Classes of Linear Time Invariant Formation Control With Limited Communication Range

By R. Middleton, Julio H. Braslavsky. IEEE Transactions on Automatic Control, 2010

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String Stability and a Delay-Based Spacing Policy for Vehicle Platoons Subject to Disturbances (2017, background): “The practically relevant case in which each vehicle is subject to external disturbances is considered in [30], whereas extensions are presented in [20] and [26].”
Dynamical Modeling and Distributed Control of Connected and Automated Vehicles: Challenges and Opportunities (2017, background): “extended the work in [33] by considering heterogeneous ND, limited communication range, nonzero time headway policy, which showed that both forward communication range and small time headway cannot alter the string instability [53].”
Robustness Analysis and Controller Synthesis of Homogeneous Vehicular Platoons With Bounded Parameter Uncertainty (2017, background): “(2004) [12], Liang and Peng (2004) [19], Middleton and Braslavsky (2010) [16], and Ploeg et al.”
Distributed Consensus Strategy for Platooning of Vehicles in the Presence of Time-Varying Heterogeneous Communication Delays (2015, background): “This property is also known in the technical literature as string stability [5], [6].”
A Survey on Platoon-Based Vehicular Cyber-Physical Systems (2016, background): “In [91], a limited range of forward and backward vehicular communication was considered for a linear time-invariant platoon control system.”