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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 navigation control of a general class of uncertain nonlinear multi-agent systems in a bounded workspace of $\mathbb{R}^n$ with static obstacles. In particular, we propose a decentralized control protocol…

Systems and Control · Computer Science 2019-09-05 Alexandros Filotheou , Alexandros Nikou , Dimos V. Dimarogonas

This paper proposes a methodology to stabilize relative equilibria in a model of identical, steered particles moving in three-dimensional Euclidean space. Exploiting the Lie group structure of the resulting dynamical system, the…

Optimization and Control · Mathematics 2008-06-23 Luca Scardovi , Naomi Leonard , Rodolphe Sepulchre

Fish, birds, insects and robots frequently swim or fly in groups. During their 3 dimensional collective motion, these agents do not stop, they avoid collisions by strong short-range repulsion, and achieve group cohesion by weak long-range…

Soft Condensed Matter · Physics 2018-07-04 Illes J. Farkas , Shuo-Hong Wang

Flocking behavior of multiple agents can be widely observed in nature such as schooling fish and flocking birds. Recent literature has proposed the possibility that flocking is possible even only a small fraction of agents are informed of…

Chaotic Dynamics · Physics 2009-05-08 Jin Zhou , Wenwu Yu , Xiaoqun Wu , Michael Small , Jun-an Lu

Distance control in many-particle systems is a fundamental problem in nature. This becomes particularly relevant in systems of active agents, which can sense their environment and react by adjusting their direction of motion. We employ…

Biological Physics · Physics 2024-06-04 Rajendra Singh Negi , Priyanka Iyer , Gerhard Gompper

We address the problem to control a population of noncooperative heterogeneous agents, each with convex cost function depending on the average population state, and all sharing a convex constraint, towards an aggregative equilibrium. We…

Optimization and Control · Mathematics 2017-03-14 Sergio Grammatico

We investigate a Cucker-Smale-type flocking model for multi-agent systems that move with constant speed. The model incorporates both kinematic observables and internal energy (temperatures) in the agents' interactions. Traditionally,…

Classical Analysis and ODEs · Mathematics 2023-04-04 Hyunjin Ahn , Junhyeok Byeon , Seung-Yeal Ha

Flocks of birds, schools of fish, insects swarms are examples of coordinated motion of a group that arises spontaneously from the action of many individuals. Here, we study flocking behavior from the viewpoint of multi-agent reinforcement…

Physics and Society · Physics 2020-07-08 Mihir Durve , Fernando Peruani , Antonio Celani

In recent years, many efforts have been addressed on collision avoidance of collectively moving agents. In this paper, we propose a modified version of the Vicsek model with adaptive speed, which can guarantee the absence of collisions.…

Data Analysis, Statistics and Probability · Physics 2009-04-03 Liqian Peng , Yang Zhao , Baomei Tian , Jue Zhang , Bing-Hong Wang , Hai-Tao Zhang , Tao Zhou

This article suggests ways to implement sequential, parallel and in the form of a given configuration of the movement of an ensemble (swarm) of mobile agents using the effect of chaotic phase synchronization. The possibility of controlling…

Adaptation and Self-Organizing Systems · Physics 2023-12-13 E. M. Varvarin , G. V. Osipov

In this paper, we consider the coordination control of a group of autonomous mobile agents with multiple leaders. Different interconnection topologies are investigated. At first, a necessary and sufficient condition is proved in the case of…

Mathematical Physics · Physics 2007-05-23 Jiangping Hu , Yiguang Hong

A group of mobile agents, identical, anonymous, and oblivious (memoryless), having the capability to sense only the relative direction (bearing) to neighborhing agents within a finite visibility range, are shown to gather to a meeting point…

Multiagent Systems · Computer Science 2015-11-02 Levi-Itzhak Bellaiche , Alfred Bruckstein

This paper studies the synchronization of a multi-agent system where the agents are coupled through heterogeneous controller gains. Synchronization refers to the situation where all the agents in a group have a common velocity direction. We…

Systems and Control · Computer Science 2016-03-15 Anoop Jain , Debasish Ghose

The study of flocking in biological systems has identified conditions for self-organized collective behavior, inspiring the development of decentralized strategies to coordinate the dynamics of swarms of drones and other autonomous…

Disordered Systems and Neural Networks · Physics 2025-11-05 Arthur N. Montanari , Ana Elisa D. Barioni , Chao Duan , Adilson E. Motter

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

We study the Cucker-Smale model with a velocity control function. The Cucker-Smale model design the emergence of consensus in terms of flocking. A proposed model encompasses several Cucker-Smale models, such as a speed limit model, a…

Classical Analysis and ODEs · Mathematics 2023-02-08 Junhyeok Byeon

This paper presents a distributed, efficient, scalable and real-time motion planning algorithm for a large group of agents moving in 2 or 3-dimensional spaces. This algorithm enables autonomous agents to generate individual trajectories…

Artificial Intelligence · Computer Science 2019-09-13 Samaneh Hosseini Semnani , Anton de Ruiter , Hugh Liu

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

In this paper, we consider the coordination control of a group of autonomous mobile agents with multiple leaders. Different interconnection topologies are investigated. At first, a necessary and sufficient condition is proved in the case of…

Mathematical Physics · Physics 2007-05-23 Jiangping Hu , Yiguang Hong , Linxin Gao