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This paper demonstrates that the acceleration/deceleration limits in ACC systems can make a string stable ACC amplify the speed perturbation in natural driving. It is shown that the constrained acceleration/deceleration of the following…

Systems and Control · Electrical Eng. & Systems 2021-08-10 Hao Zhou , Anye Zhou , Tienan Li , Danjue Chen , Srinivas Peeta , Jorge Laval

In the control of vehicular platoons, the disturbances acting on one vehicle can propagate and affect other vehicles. If the disturbances do not amplify along the vehicular string, then it is called string stable. However, it is usually…

Dynamical Systems · Mathematics 2024-03-11 Chengshuai Wu , Meng Zhang , Dimos V. Dimarogonas

This article presents a state feedback control design strategy for the stabilization of a vehicle along a reference collision avoidance maneuver. The stabilization of the vehicle is achieved through a combination of steering, acceleration…

Optimization and Control · Mathematics 2021-02-16 Penco Dario , Davins-Valldaura Joan , Godoy Emmanuel , Kvieska Pedro , Valmorbida Giorgio

As connected and autonomous vehicles become more widespread, platooning has emerged as a key strategy to improve road capacity, reduce fuel consumption, and enhance traffic flow. However, the benefits of platoons strongly depend on their…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Oumaima Barhoumi , Ghazal Farhani , Taufiq Rahman , Mohamed H. Zaki , Sofiène Tahar

Synchronisation and stability under periodic oscillatory driving are well-understood, but little is known about the effects of aperiodic driving, despite its abundance in nature. Here, we consider oscillators subject to driving with slowly…

Adaptation and Self-Organizing Systems · Physics 2018-05-09 Maxime Lucas , Julian Newman , Aneta Stefanovska

In this paper, we study the longitudinal control problem for a platoon of vehicles with unknown nonlinear dynamics under both the predecessor-following and the bidirectional control architectures. The proposed control protocols are fully…

Systems and Control · Computer Science 2017-01-24 Christos K. Verginis , Charalampos P. Bechlioulis , Dimos V. Dimarogonas , Kostas J. Kyriakopoulos

This paper presents a robust non-linear state estimator for autonomous surface vehicles, where the movement is restricted to the horizontal plane. It is assumed that only the vehicle position and orientation can be measured, being the…

Systems and Control · Electrical Eng. & Systems 2024-02-07 Guillermo Bejarano , Sufiyan N-Yo , Luis Orihuela

The positive impacts of platooning on travel time reliability, congestion, emissions, and energy consumption have been shown for homogeneous roadway segments. However, speed limit changes frequently throughout the transportation network,…

Systems and Control · Computer Science 2017-09-29 Sina Arefizadeh , Alireza Talebpour , Igor Zelenko

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

This paper deals with the problem of string stability in a chain of acceleration-controlled vehicles. It is known that string stability cannot be achieved, with any linear controller, when the vehicles' control inputs are based on relative…

Optimization and Control · Mathematics 2018-10-31 Arash Farnam , Alain Sarlette

Stop-and-go waves in road traffic are complex collective phenomena with significant implications for traffic engineering, safety and the environment. Despite decades of research, understanding and controlling these dynamics remains…

Physics and Society · Physics 2024-08-15 Matthias Ehrhardt , Antoine Tordeux

Much recent progress has been achieved for stabilization of linear and nonlinear systems with input delays that are long and dependent on either time or the plant state---provided the dependence is known. In this paper we consider the delay…

Optimization and Control · Mathematics 2012-09-11 Nikolaos Bekiaris-Liberis , Miroslav Krstic

We study decentralized control strategies for platoons of autonomous vehicles with heterogeneous and nonlinear dynamics. Based on ideas from funnel control, we present a novel decentralized control algorithm which is able to guarantee a…

Optimization and Control · Mathematics 2025-02-19 Thomas Berger , Bart Besselink

Autonomous vehicle following systems are playing a decisive role to increase vehicle density on roads by shortening inter-vehicle time gaps. However, disturbance attenuation along a platoon of vehicles, i.e., string stability, is being a…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Erkan Kayacan

This paper presents a framework grounded in the theory of describing function (DF) and incremental-input DF to theoretically analyze the nonlinear oscillatory response of automated vehicles (AVs) car-following (CF) amidst traffic…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Sixu Li , Yang Zhou

The paper provides results for a non-standard, hyperbolic, 1-D, nonlinear traffic flow model on a bounded domain. The model consists of two first-order PDEs with a dynamic boundary condition that involves the time derivative of the…

Optimization and Control · Mathematics 2017-07-10 Iasson Karafyllis , Nikolaos Bekiaris-Liberis , Markos Papageorgiou

This paper studies the $\alpha$-stability property of differentially flat nonlinear dynamical systems. The results build off the recently introduced notion of $\alpha$-stability, which is particularly amenable to characterize the ability of…

Dynamical Systems · Mathematics 2026-05-29 Aadila Ali Sabry , Gennaro Notomista

The Intelligent Driver Model is studied and several drawbacks with respect to driving simulators are defined. We present two modifications of the IDM. The first one gives any predefined distance to the leading vehicle in a steady state. The…

Physics and Society · Physics 2016-10-18 Valentina Kurtc , Igor Anufriev

This paper deals with the stabilization problem for nonlinear control-affine systems with the use of oscillating feedback controls. We assume that the local controllability around the origin is guaranteed by the rank condition with Lie…

Optimization and Control · Mathematics 2019-08-09 Alexander Zuyev , Victoria Grushkovskaya

There are several results on the stability of nonlinear positive systems in the presence of time delays. However, most of them assume that the delays are constant. This paper considers time-varying, possibly unbounded, delays and…

Systems and Control · Computer Science 2014-10-01 Hamid Reza Feyzmahdavian , Themistoklis Charalambous , Mikael Johansson