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We present a general framework for modeling a wide selection of flocking scenarios under free boundary conditions. Several variants have been considered - including examples for the widely observed behavior of hierarchically interacting…

Physics and Society · Physics 2019-04-23 Yongnan Jia , Tamas Vicsek

Formation control algorithms for multi-agent systems have gained much attention in the recent years due to the increasing amount of mobile and aerial robotic swarms. The design of safe controllers for these vehicles is a substantial aspect…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Thomas Beckers , Sandra Hirche , Leonardo Colombo

We investigate the emergence of cohesive flocking in open, boundless space using a multi-agent reinforcement learning framework. Agents integrate positional and orientational information from their closest topological neighbours and learn…

Soft Condensed Matter · Physics 2026-02-02 Martino Brambati , Antonio Celani , Marco Gherardi , Francesco Ginelli

This work considers the distance constrained formation control problem with an additional constraint requiring that the formation exhibits a specified spatial symmetry. We employ recent results from the theory of symmetry-forced rigidity to…

Optimization and Control · Mathematics 2025-01-29 Daniel Zelazo , Shin-ichi Tanigawa , Bernd Schulze

In the typical multiagent formation tracking problem centered on consensus, the prevailing assumption in the literature is that the agents' nonlinear models can be approximated by integrator systems, by their feedback-linearized…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Clinton Enwerem , John S. Baras

Agent-based models (ABMs) provide a powerful framework to describe complex systems composed of interacting entities, capable of producing emergent collective behaviours such as consensus formation or clustering. However, the increasing…

Optimization and Control · Mathematics 2025-07-29 Angela Monti , Fasma Diele , Dante Kalise

We study the multi-scale description of large-time collective behavior of agents driven by alignment. The resulting multi-flock dynamics arises naturally with realistic initial configurations consisting of multiple spatial scaling, which in…

Analysis of PDEs · Mathematics 2020-03-11 Roman Shvydkoy , Eitan Tadmor

Formation control of autonomous agents can be seen as a physical system of individuals interacting with local potentials, and whose evolution can be described by a Lagrangian function. In this paper, we construct and implement forced…

Systems and Control · Electrical Eng. & Systems 2020-10-02 Leonardo Colombo , Hector Garcia de Marina

We present a new model for multi-agent dynamics where each agent is described by its position and body attitude: agents travel at a constant speed in a given direction and their body can rotate around it adopting different configurations.…

Mathematical Physics · Physics 2016-05-12 Pierre Degond , Amic Frouvelle , Sara Merino-Aceituno

We introduce a model for self-organized dynamics which, we argue, addresses several drawbacks of the celebrated Cucker-Smale (C-S) model. The proposed model does not only take into account the distance between agents, but instead, the…

Analysis of PDEs · Mathematics 2015-05-27 Sebastien Motsch , Eitan Tadmor

In this paper we study the optimal formation control of multiple agents whose interaction parameters are adjusted upon a cost function consisting of both the control energy and the geometrical performance. By optimizing the interaction…

Systems and Control · Computer Science 2015-03-17 Huang Huang , Changbin Yu

Formation control is a key problem in the coordination of multiple agents. It arises new challenges to traditional formation control strategy when the communication among agents is affected by uncertainties. This paper considers the robust…

Systems and Control · Computer Science 2017-09-05 Dongkun Han , Dimitra Panagou

We address density control problems for large-scale multi-agent systems in leader-follower settings, where a group of controllable leaders must steer a population of followers toward a desired spatial distribution. Unlike prior work, we…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Beniamino Di Lorenzo , Gian Carlo Maffettone , Mario di Bernardo

We propose a second-order multi-agent system for target tracking on a sphere. The model contains a centripetal force, a bonding force, a velocity alignment operator to the target, and cooperative control between flocking agents. We propose…

Dynamical Systems · Mathematics 2021-07-12 Sun-Ho Choi , Dohyun Kwon , Hyowon Seo

This paper presents a distributed adaptive control strategy for multi-agent systems with heterogeneous dynamics and collision avoidance. We propose an adaptive control strategy designed to ensure leader-following formation consensus while…

Systems and Control · Electrical Eng. & Systems 2024-10-14 Armel Koulong , Ali Pakniyat

We propose a top-down approach for formation control of heterogeneous multi-agent systems, based on the method of eigenstructure assignment. Given the problem of achieving scalable formations on the plane, our approach globally computes a…

Systems and Control · Computer Science 2017-08-17 Takatoshi Motoyama , Kai Cai

The well-known Cucker-Smale model is a macroscopic system reflecting flocking, i.e. the alignment of velocities in a group of autonomous agents having mutual interactions. In the present paper, we consider the mean-field limit of that…

Optimization and Control · Mathematics 2014-11-19 Benedetto Piccoli , Francesco Rossi , Emmanuel Trélat

This paper addresses the problem of collective circular motion control for unicycle agents, with the objective of achieving phase coordination of their velocity vectors while ensuring that their trajectories remain confined within a…

Systems and Control · Electrical Eng. & Systems 2025-09-11 Shubham Singh , Anoop Jain

The cohesive collective motion (flocking, swarming) of autonomous agents is ubiquitously observed and exploited in both natural and man-made settings, thus, minimal models for its description are essential. In a model with continuous space…

Statistical Mechanics · Physics 2015-01-12 Illes J. Farkas , Jeromos Kun , Yi Jin , Gaoqi He , Mingliang Xu

The safe control of multi-robot swarms is a challenging and active field of research, where common goals include maintaining group cohesion while simultaneously avoiding obstacles and inter-agent collision. Building off our previously…

Optimization and Control · Mathematics 2024-04-03 Brooks A. Butler , Chi Ho Leung , Philip E. Paré
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