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We investigate algorithmic control of a large swarm of mobile particles (such as robots, sensors, or building material) that move in a 2D workspace using a global input signal (such as gravity or a magnetic field). We show that a maze of…

Emerging Technologies · Computer Science 2017-12-05 Aaron T. Becker , Erik D. Demaine , Sándor P. Fekete , Jarrett Lonsforda , Rose Morris-Wright

Optimal control theory deals with finding protocols to steer a system between assigned initial and final states, such that a trajectory-dependent cost function is minimized. The application of optimal control to stochastic systems is an…

Statistical Mechanics · Physics 2024-09-18 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

Navigation in complex and noisy environments is a key issue in diverse fields from biology to engineering. Despite extensive progress in numerical optimization methods for computing navigation policies, insights into how disorder reshapes…

Statistical Mechanics · Physics 2026-05-06 Kévin Bilaï Biloa , Olivier Pierre-Louis

The connections between optimal control and Bayesian inference have long been recognised, with the field of stochastic (optimal) control combining these frameworks for the solution of partially observable control problems. In particular,…

Optimization and Control · Mathematics 2022-03-10 Manuel Baltieri

Stochastic transport processes on networked domains (modelled on metric graphs) arise in a variety of applications where diffusion and drift mechanisms interact with an underlying graph structure. The Fokker--Planck equation provides a…

Numerical Analysis · Mathematics 2026-01-29 Ritu Kumari , Cyrille Kenne , Landry Djomegne , Mani Mehra

We consider stochastic systems of interacting particles or agents, with dynamics determined by an interaction kernel which only depends on pairwise distances. We study the problem of inferring this interaction kernel from observations of…

Statistics Theory · Mathematics 2020-07-31 Fei Lu , Mauro Maggioni , Sui Tang

We introduce a stochastic agent-based model for the flocking dynamics of self-propelled particles that exhibit velocity-alignment interactions with neighbours within their field of view. The stochasticity in the dynamics of the model arises…

Statistical Mechanics · Physics 2019-07-24 Trilochan Bagarti , Shakti N. Menon

Active constituents burn fuel to sustain individual motion, giving rise to collective effects that are not seen in systems at thermal equilibrium, such as phase separation with purely repulsive interactions. There is a great potential in…

Statistical Mechanics · Physics 2024-02-16 Luke K. Davis , Karel Proesmans , Étienne Fodor

In this paper we consider the problem of navigation and motion control in an area densely populated with other agents. We propose an algorithm that, without explicit communication and based on the information it has, computes the best…

Systems and Control · Electrical Eng. & Systems 2020-08-28 Mario Santillo , Mrdjan Jankovic

Applying reinforcement learning to autonomous driving entails particular challenges, primarily due to dynamically changing traffic flows. To address such challenges, it is necessary to quickly determine response strategies to the changing…

Robotics · Computer Science 2022-12-12 Se-Wook Yoo , Chan Kim , Jin-Woo Choi , Seong-Woo Kim , Seung-Woo Seo

Collision-free navigation in cluttered environments with static and dynamic obstacles is essential for many multi-robot tasks. Dynamic obstacles may also be interactive, i.e., their behavior varies based on the behavior of other entities.…

Robotics · Computer Science 2024-05-21 Baskın Şenbaşlar , Gaurav S. Sukhatme

This paper presents aUToPath, a unified online framework for global path-planning and control to address the challenge of autonomous navigation in cluttered urban environments. A key component of our framework is a novel hybrid planner that…

This article presents a new optimal control-based interactive motion planning algorithm for an autonomous vehicle interacting with a human-driven vehicle. The ego vehicle solves a joint optimization problem for its motion planning involving…

Systems and Control · Electrical Eng. & Systems 2024-11-25 Viranjan Bhattacharyya , Ardalan Vahidi

We propose a neural network approach that yields approximate solutions for high-dimensional optimal control problems and demonstrate its effectiveness using examples from multi-agent path finding. Our approach yields controls in a feedback…

Optimization and Control · Mathematics 2022-06-29 Derek Onken , Levon Nurbekyan , Xingjian Li , Samy Wu Fung , Stanley Osher , Lars Ruthotto

The control of active colloidal particles via optical traps is a cornerstone for research of matter at the micron and nanometer scale. A central challenge in this domain is the derivation of optimal transport protocols that minimize the…

Soft Condensed Matter · Physics 2026-03-19 Utkarsh Maurya , Kavya Swaminathan , Ejaz Ashraf , Rajesh Singh

Autonomous systems often have logical constraints arising, for example, from safety, operational, or regulatory requirements. Such constraints can be expressed using temporal logic specifications. The system state is often partially…

Artificial Intelligence · Computer Science 2024-06-21 Krishna C. Kalagarla , Dhruva Kartik , Dongming Shen , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

Connected and autonomous vehicles have the potential to minimize energy consumption by optimizing the vehicle velocity and powertrain dynamics with Vehicle-to-Everything info en route. Existing deterministic and stochastic methods created…

Machine Learning · Computer Science 2023-10-18 Jacob Paugh , Zhaoxuan Zhu , Shobhit Gupta , Marcello Canova , Stephanie Stockar

Field control provides a practical route to programmable active matter, yet how weak fields modify non-equilibrium coexistence and interfaces remains unclear. To address this, we study a minimal flocking model of active Potts particles…

Soft Condensed Matter · Physics 2026-03-30 Mintu Karmakar , Matthieu Mangeat , Swarnajit Chatterjee , Heiko Rieger , Raja Paul

Deploying self-navigating surface vessels in inland waterways offers a sustainable alternative to reduce road traffic congestion and emissions. However, navigating confined waterways presents unique challenges, including narrow channels,…

Robotics · Computer Science 2025-09-09 Sajad Ahmadi , Hossein Nejatbakhsh Esfahani , Javad Mohammadpour Velni

This paper considers the relaxed version of the transport problem for general nonlinear control systems, where the objective is to design time-varying feedback laws that transport a given initial probability measure to a target probability…

Systems and Control · Computer Science 2018-07-27 Karthik Elamvazhuthi , Piyush Grover , Spring Berman