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Cooperation of multiple connected vehicles has the potential to benefit the road traffic greatly. In this paper, we consider analysis and synthesis problems of the cooperative control of a platoon of heterogeneous connected vehicles with…

Optimization and Control · Mathematics 2019-08-06 Yang Zheng , Yougang Bian , Shen Li , Shengbo Eben Li

This paper presents a unified string-stability framework for leader-follower multi-agent systems governed by first-, second-, and m-th order consensus protocols operating under an r-predecessor directed communication topology. While string…

Optimization and Control · Mathematics 2026-05-05 Sridhar Babu Mudhangulla , Olugbenga Moses Anubi

Groups of aircraft have the potential to save significant amounts of energy by flying in formations; all but the leading aircraft can benefit from the upwash of the wakes of preceding aircraft. A potential obstacle as the number of aircraft…

Optimization and Control · Mathematics 2021-03-30 James R. Riehl , Esteban A. L. Hufstedler , Philippe Chatelain , Julien M. Hendrickx

This paper is devoted to discuss the stabilizability of a class of $ 2 \times2 $ non-homogeneous hyperbolic systems. Motivated by the example in \cite[Page 197]{CB2016}, we analyze the influence of the interval length $L$ on stabilizability…

Analysis of PDEs · Mathematics 2023-08-21 Xu Huang , Zhiqiang Wang , Shijie Zhou

In this paper, we study the internal stability and string stability of a vehicle platoon under the constant time headway spacing (CTHS) policy and the multiple-predecessor-following (MPF) vehicle-to-vehicle information flow topology. More…

Optimization and Control · Mathematics 2024-05-15 Wei Jiang , Elham Abolfazli , Themistoklis Charalambous

This work proposes provably-correct self-organizing strategies for platoons of heterogeneous vehicles. We refer to self-organization as the capability of a platoon to autonomously homogenize to a common group behavior. We show that…

Systems and Control · Electrical Eng. & Systems 2024-02-26 Di Liu , Sebastian Mair , Kang Yang , Simone Baldi , Paolo Frasca , Matthias Althoff

The speed limit changes frequently throughout the transportation network, due to either safety (e.g., change in geometry) or congestion management (e.g., speed harmonization systems). Any abrupt reduction in the speed limit can create a…

Systems and Control · Computer Science 2018-02-02 Sina Arefizadeh , Aria Hasanzadezonuzy , Alireza Talebpour , Srinivas Shakkottai

The paper deals with the design of nonlinear adaptive cruise controllers for vehicular platoons operating on an open road or a ring-road. The constructed feedback controllers are nonlinear functions of the distance between successive…

Systems and Control · Electrical Eng. & Systems 2020-07-15 Iasson Karafyllis , Dionysis Theodosis , Markos Papageorgiou

We examine synchronization of identical chaotic systems coupled in a drive/response manner. A rigorous criterion is presented which, if satisfied, guarantees that synchronization to the driving trajectory is linearly stable to…

chao-dyn · Physics 2009-10-30 Reggie Brown , Nikolai F. Rulkov

In this paper we present a prediction-based Cooperative Adaptive Cruise Controller for vehicles with actuation delay, applicable within heterogeneous platoons. We provide a stability analysis for the discrete-time implementation of this…

Systems and Control · Electrical Eng. & Systems 2024-04-25 Redmer de Haan , Lorenzo Redi , Tom van der Sande , Erjen Lefeber

In this paper, a novel approach to spacing policies for vehicle platoons and a framework for control design is presented. Whereas traditional approaches aim to mitigate the effect of actuation and communication delays on the spacing error,…

Optimization and Control · Mathematics 2025-08-21 Paul Wijnbergen , Redmer de Haan , Erjen Lefeber

Recent developments in autonomous driving, vehicle-to-vehicle communication and smart traffic controllers have provided a hope to realize platoon formation of vehicles. The main benefits of vehicle platooning include improved safety,…

Logic in Computer Science · Computer Science 2018-04-25 Adnan Rashid , Umair Siddique , Osman Hasan

In this paper, we consider the problem of platooning control with mismatched disturbances using the distributed adaptive backstepping method. The main challenges are: (1) maintaining the compositionality and the distributed nature of the…

Systems and Control · Electrical Eng. & Systems 2022-11-30 Zihao Song , Shirantha Welikala , Panos J. Antsaklis , Hai Lin

This paper studies robustness of MIMO control systems with parametric uncertainties, and establishes a lower dimensional robust stability criterion. For control systems with interval transfer matrices, we identify the minimal testing set…

Statistics Theory · Mathematics 2007-06-13 Long Wang

The anticipated launch of fully autonomous vehicles presents an opportunity to develop and implement novel traffic management systems. Intersections are one of the bottlenecks for urban traffic, and thus offer tremendous potential for…

Systems and Control · Electrical Eng. & Systems 2024-01-25 P. C. Joshi , M. A. A. Boon , S. C. Borst

This work proposes a framework for Cooperative Adaptive Cruise Control of a vehicular platoon characterized by unidirectional communication and heterogeneous parameters. In the proposed framework, the actual (heterogeneous) platoon is made…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Ashutosh Chandra Pandey , Sayan Basu Roy , Simone Baldi

We consider a graph theoretic approach to the performance and robustness of a platoon of vehicles, where each vehicle communicates with its $k$-nearest neighbors. In particular, we quantify the platoon's stability margin, robustness to…

Optimization and Control · Mathematics 2016-07-08 Mohammad Pirani , Ehsan Hashemi , John W. Simpson-Porco , Baris Fidan , Amir Khajepour

We study the stability of coupled impedance passive regular linear systems under power-preserving interconnections. We present new conditions for strong, exponential, and non-uniform stability of the closed-loop system. We apply the…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

A fundamental problem in traffic networks is driving under safety and limited physical space constraints. In this paper, we design longitudinal vehicle controllers and study the dynamics of a system of homogeneous vehicles on a single-lane…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Milad Pooladsanj , Ketan Savla , Petros A. Ioannou

We are motivated by the problem of control for a non-homogeneous elastic string with memory. We reduce the problem of controllability to a non-standard moment problem. The solution of the latter problem is based on an auxiliary Riesz basis…

Optimization and Control · Mathematics 2011-10-28 Sergei A. Avdonin , Boris P. Belinskiy