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This paper tackles the problem of safe and efficient area coverage using a multi-agent system operating in environments with obstacles. Applications such as environmental monitoring and search and rescue require robot swarms to cover large…

Systems and Control · Electrical Eng. & Systems 2025-12-12 Sungjun Seo , Kooktae Lee

By starting with the assumption that motion is fundamentally a decision making problem, we use the world-line concept from Special Relativity as the inspiration for a novel multi-agent path planning method. We have identified a particular…

Robotics · Computer Science 2022-04-04 Vismay Modi , Yixin Chen , Abhishek Madan , Shinjiro Sueda , David I. W. Levin

Collision avoidance -- involving a rapid threat detection and quick execution of the appropriate evasive maneuver -- is a critical aspect of driving. However, existing models of human collision avoidance behavior are fragmented, focusing on…

Collision-free motion is a fundamental requirement for many autonomous systems. This paper develops a safety-critical control approach for the collision-free navigation of polytope-shaped agents in polytope-shaped environments. A systematic…

Systems and Control · Electrical Eng. & Systems 2025-05-26 Tamas G. Molnar

Nonlinear optimal control problems for trajectory planning with obstacle avoidance present several challenges. While general-purpose optimizers and dynamic programming methods struggle when adopted separately, their combination enabled by a…

Optimization and Control · Mathematics 2024-08-09 Rebecca Richter , Alberto De Marchi , Matthias Gerdts

The optimization of fuel-optimal low-thrust collision avoidance maneuvers (CAMs) in scenarios involving multiple encounters between spacecraft is addressed. The optimization's objective is the minimization of the total fuel consumption…

Optimization and Control · Mathematics 2024-06-07 Zeno Pavanello , Laura Pirovano , Roberto Armellin , Andrea De Vittori , Pierluigi Di Lizia

With advancements in technology, commercial aircraft formation flying is becoming increasingly feasible as an efficient and environmentally friendly flight method. However, gaps remain in practical implementation, particularly in collision…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Songqiying Yang , Ania Adil , Eric Feron

With the recent surge of interest in UAVs for civilian services, the importance of developing tractable multi-agent analysis techniques that provide safety and performance guarantees have drastically increased. Hamilton-Jacobi (HJ)…

Optimization and Control · Mathematics 2017-03-23 Aparna Dhinakaran , Mo Chen , Glen Chou , Jennifer C. Shih , Claire J. Tomlin

This paper presents an approach to mutual collision avoidance based on Nonlinear Model Predictive Control (NMPC) with time-dependent Reciprocal Velocity Constraints (RVCs). Unlike most existing methods, the proposed approach relies solely…

Robotics · Computer Science 2025-12-10 Vit Kratky , Robert Penicka , Parakh M. Gupta , Ondrej Prochazka , Martin Saska

Motivated by recent developments in Hamiltonian variational principles, Hamiltonian variational integrators, and their applications such as to optimization and control, we present a new Type II variational approach for Hamiltonian systems,…

Symplectic Geometry · Mathematics 2025-04-10 Brian K. Tran , Melvin Leok

Autonomous agents such as self-driving cars or parcel robots need to recognize and avoid possible collisions with obstacles in order to move successfully in their environment. Humans, however, have learned to predict movements intuitively…

Machine Learning · Computer Science 2020-11-30 Carsten Hahn , Sebastian Feld , Hannes Schroter

This paper analyzes the global dynamics of 1-dimensional agent arrays with nearest neighbor linear couplings. The equations of motion are second order linear ODEs with constant coeffcients. The novel part of this research is that the…

Optimization and Control · Mathematics 2021-09-15 R. Lyons , J. J. P. Veerman

This paper studies the collision avoidance problem for autonomous multiple fixedwing UAVs in the complex integrated airspace. By studying and combining the online path planning method, the distributed model predictive control algorithm, and…

Robotics · Computer Science 2020-06-01 Yajing Wang , Xiangke Wang , Shulong Zhao , Lincheng Shen

The sudden appearance of a static obstacle on the road, i.e. the moose test, is a well-known emergency scenario in collision avoidance for automated driving. Model Predictive Control (MPC) has long been employed for planning and control of…

Systems and Control · Electrical Eng. & Systems 2026-02-20 Leila Gharavi , Simone Baldi , Yuki Hosomi , Tona Sato , Bart De Schutter , Binh-Minh Nguyen , Hiroshi Fujimoto

In this paper we consider multi-agent navigation with collision avoidance using Control Barrier Functions (CBF). In the case of non-communicating agents, we consider trade-offs between level of safety guarantee and liveness - the ability to…

Systems and Control · Electrical Eng. & Systems 2020-12-21 Mrdjan Jankovic , Mario Santillo

Interacting agent and particle systems are extensively used to model complex phenomena in science and engineering. We consider the problem of learning interaction kernels in these dynamical systems constrained to evolve on Riemannian…

Machine Learning · Computer Science 2021-03-08 Mauro Maggioni , Jason Miller , Hongda Qiu , Ming Zhong

Reactive collision avoidance is essential for agile robots navigating complex and dynamic environments, enabling real-time obstacle response. However, this task is inherently challenging because it requires a tight integration of…

Robotics · Computer Science 2025-06-06 Alessandro Saviolo , Niko Picello , Jeffrey Mao , Rishabh Verma , Giuseppe Loianno

Decentralized multi-agent navigation under uncertainty is a complex task that arises in numerous robotic applications. It requires collision avoidance strategies that account for both kinematic constraints, sensing and action execution…

Robotics · Computer Science 2025-08-01 Stepan Dergachev , Konstantin Yakovlev

This paper addresses the problem of guaranteeing safety of multiple coordinated agents moving in dynamic environments. It has recently been shown that this problem can be efficiently solved through the notion of Control Barrier Functions…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Aurora Haraldsen , Josef Matous , Kristin Y. Pettersen

High-speed, low-latency obstacle avoidance that is insensitive to sensor noise is essential for enabling multiple decentralized robots to function reliably in cluttered and dynamic environments. While other distributed multi-agent collision…

Artificial Intelligence · Computer Science 2017-07-07 Pinxin Long , Wenxi Liu , Jia Pan
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