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A novel delay-based spacing policy for the control of vehicle platoons is introduced together with a notion of disturbance string stability. The delay-based spacing policy specifies the desired inter-vehicular distance between vehicles and…

Systems and Control · Computer Science 2017-02-06 Bart Besselink , Karl H. Johansson

Divergence and vorticity damping, which operate upon horizontal divergence and relative vorticity, are explicit diffusion mechanisms used in dynamical cores to ensure stability. To avoid numerical blow-up from excessively strong diffusion,…

Numerical Analysis · Mathematics 2026-02-19 Timothy C. Andrews , Christiane Jablonowski

In this paper, we consider the stability analysis of large-scale distributed networked control systems with random communication delays between linearly interconnected subsystems. The stability analysis is performed in the Markov jump…

Systems and Control · Computer Science 2015-11-13 Kooktae Lee , Raktim Bhattacharya

We study strain-controlled plastic deformation of crystalline solids via two-dimensional discrete dislocation dynamics simulations. To this end, we characterize the average stress-strain curves as well as the statistical properties of…

Materials Science · Physics 2021-09-01 David Kurunczi-Papp , Lasse Laurson

Scale-free (SF) networks and small world networks have been found to occur in very diverse contexts. It is this striking universality which makes one look for widely applicable mechanisms which lead to the formation of such networks. In…

Disordered Systems and Neural Networks · Physics 2007-05-23 Markus Brede , John Finnigan

We prove a metric space scaling limit for a critical random graph with independent and identically distributed degrees having power-law tail behaviour with exponent $\alpha+1$, where $\alpha \in (1,2)$. The limiting components are…

Probability · Mathematics 2021-08-02 Guillaume Conchon--Kerjan , Christina Goldschmidt

We consider the design of optimal localized feedback gains for one-dimensional formations in which vehicles only use information from their immediate neighbors. The control objective is to enhance coherence of the formation by making it…

Optimization and Control · Mathematics 2013-04-23 Fu Lin , Makan Fardad , Mihailo R. Jovanović

Angle-constrained formation control has attracted much attention from control community due to the advantage that inter-edge angles are invariant under uniform translations, rotations, and scalings of the whole formation. However, almost…

Systems and Control · Electrical Eng. & Systems 2024-02-08 Kun Li , Zhixi Shen , Gangshan Jing , Yongduan Song

Shared Control methods often use impedance control to track target poses in a robotic manipulator. The guidance behavior of such controllers is shaped by the used stiffness gains, which can be varying over time to achieve an adaptive…

The characteristic equation for a linear delay differential equation (DDE) has countably infinite roots on the complex plane. This paper considers linear DDEs that are on the verge of instability, i.e. a pair of roots of the characteristic…

Probability · Mathematics 2016-06-08 Nishanth Lingala , N. Sri Namachchivaya

Systems modeled by partial differential equations (PDEs) are at least as ubiquitous as systems that are by nature finite-dimensional and modeled by ordinary differential equations (ODEs). And yet, systematic and readily usable…

Optimization and Control · Mathematics 2025-09-11 Rafael Vazquez , Jean Auriol , Federico Bribiesca-Argomedo , Miroslav Krstic

We consider the problem of completely covering an unknown discrete environment with a swarm of asynchronous, frequently-crashing autonomous mobile robots. We represent the environment by a discrete graph, and task the robots with occupying…

Discrete Mathematics · Computer Science 2020-06-05 Michael Amir , Alfred M. Bruckstein

An open question in autonomous driving is how best to use simulation to validate the safety of autonomous vehicles. Existing techniques rely on simulated rollouts, which can be inefficient for finding rare failure events, while other…

Robotics · Computer Science 2020-06-29 Anthony Corso , Ritchie Lee , Mykel J. Kochenderfer

In this paper, we propose a macroscopic model that describes the influence of a slow moving large vehicle on road traffic. The model consists of a scalar conservation law with a non-local constraint on the flux. The constraint level depends…

Analysis of PDEs · Mathematics 2024-05-06 Abraham Sylla

The classical stability margin analysis based on the linearized model is widely used in practice even in nonlinear systems. Although linear analysis techniques are relatively standard and have simple implementation structures, they are…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Jinrui Ren , Quan Quan

Human-leading truck platooning systems have been proposed to leverage the benefits of both human supervision and vehicle autonomy. Equipped with human guidance and autonomous technology, human-leading truck platooning systems are more…

Systems and Control · Electrical Eng. & Systems 2022-01-31 Mehmet Fatih Ozkan , Yao Ma

In this paper, we study the optimal control of a discrete-time stochastic differential equation (SDE) of mean-field type, where the coefficients can depend on both a function of the law and the state of the process. We establish a new…

Optimization and Control · Mathematics 2022-10-05 Arzu Ahmadova , Nazim I. Mahmudov

We present a convolutional framework which significantly reduces the complexity and thus, the computational effort for distributed reinforcement learning control of dynamical systems governed by partial differential equations (PDEs).…

Machine Learning · Computer Science 2023-12-27 Sebastian Peitz , Jan Stenner , Vikas Chidananda , Oliver Wallscheid , Steven L. Brunton , Kunihiko Taira

This paper addresses the problem of collaborative formation control for multi-agent systems with limited resources. We consider a team of robots tasked with achieving a desired formation from an arbitrary initial configuration. To reduce…

Robotics · Computer Science 2026-04-07 Evangelos Psomiadis , Panagiotis Tsiotras

This paper addresses the problem of bearing leader-follower formation control in three-dimensional space by exploring the persistence of excitation (PE) of the desired formation. Using only bearing and relative velocity measurements,…

Systems and Control · Electrical Eng. & Systems 2021-10-18 Zhiqi Tang , Rita Cunha , Tarek Hamel , Carlos Silvestre