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We study the formation control problem for a group of mobile agents in a plane, in which each agent is modeled as a kinematic point and can only use the local measurements in its local frame. The agents are required to maintain a geometric…

Optimization and Control · Mathematics 2019-09-13 Chen Wang , Shuai Li , Weiguo Xia , Jinan Sun , Guangming Xie

Rotating clusters or vortices are formations of agents that rotate around a common center. These patterns may be found in very different contexts: from swirling fish to surveillance drones. Here, we propose a minimal model for…

Adaptation and Self-Organizing Systems · Physics 2023-05-16 Julia Cantisán , Jesús M. Seoane , Miguel A. F. Sanjuán

We show in this paper that a small subset of agents of a formation of n agents in Euclidean space can control the position and orientation of the entire formation. We consider here formations tasked with maintaining inter-agent distances at…

Dynamical Systems · Mathematics 2017-04-24 Xudong Chen , M. -A. Belabbas , Tamer Basar

In this article, we investigate the convergence behavior of two classes of gathering protocols with fixed circulant topologies using tools from dynamical systems. Given a fixed number of mobile entities moving in the Euclidean plane, we…

Dynamical Systems · Mathematics 2026-04-15 Raphael Gerlach , Sören von der Gracht , Michael Dellnitz

This paper investigates a modification of cyclic constant bearing (CB) pursuit in a multi-agent system in which each agent pays attention to a neighbor and a beacon. The problem admits shape equilibria with collective circling about the…

Systems and Control · Computer Science 2017-02-13 Kevin S. Galloway , Biswadip Dey

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

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

This paper studies distributed formation control of multiple agents in the plane using bearing-only measurements. It is assumed that each agent only measures the local bearings of their neighbor agents. The target formation considered in…

Systems and Control · Computer Science 2012-10-31 Shiyu Zhao , Feng Lin , Kemao Peng , Ben M. Chen , Tong H. Lee

We propose a bio-inspired, agent-based approach to describe the natural phenomenon of group chasing in both two and three dimensions. Using a set of local interaction rules we created a continuous-space and discrete-time model with time…

Biological Physics · Physics 2017-05-24 Milán Janosov , Csaba Virágh , Gábor Vásárhelyi , Tamás Vicsek

This paper presents a novel control protocol for distance and orientation formation control of rigid bodies, whose sensing graph is a static and undirected tree, in the special Euclidean group SE(3). The proposed control laws are…

Systems and Control · Computer Science 2018-08-30 Christos K. Verginis , Alexandros Nikou , Dimos V. Dimarogonas

Many organisms in nature use local interactions to generate global cooperative phenomena. To unravel how the behavior of individuals generates effective interactions within a group, we introduce a simple model, wherein each agent senses the…

Statistical Mechanics · Physics 2024-02-20 Samudrajit Thapa , Bat-El Pinchasik , Yair Shokef

Modeling crowds has many important applications in games and computer animation. Inspired by the emergent following effect in real-life crowd scenarios, in this work, we develop a method for implicitly grouping moving agents. We achieve…

Multiagent Systems · Computer Science 2024-07-02 Xiao-Cheng Liao , Wei-Neng Chen , Xiang-Ling Chen , Yi Mei

In this paper, we consider multiple mobile agents moving in Euclidean space with point mass dynamics. Using a coordination control scheme, we can make the group generate stable flocking motion. The control laws are a combination of…

Statistics Theory · Mathematics 2007-06-13 Long Wang

This paper studies a leader-follower formation tracking problem where the leaders are moving at the same unknown bounded velocity. A distance-based control law is proposed for follower agents to maintain the desired distances in the…

Systems and Control · Electrical Eng. & Systems 2021-06-22 Dung Van Vu , Minh Hoang Trinh , Hyo-Sung Ahn

Formation control deals with the design of decentralized control laws that stabilize mobile, autonomous agents at prescribed distances from each other. We call any configuration of the agents a target configuration if it satisfies the…

Dynamical Systems · Mathematics 2016-05-23 Xudong Chen , M. -A. Belabbas , Tamer Başar

In formation control, an ensemble of autonomous agents is required to stabilize at a given configuration in the plane, doing so while agents are allowed to observe only a subset of the ensemble. As such, formation control provides a rich…

Optimization and Control · Mathematics 2011-10-07 M. -A. Belabbas

Generally, the normal displacement-based formation control has a sensing mode that requires the agent not only to have certain knowledge of its direction, but also to gather its local information characterized by nonnegative coupling…

Optimization and Control · Mathematics 2023-06-06 Zhen Li , Yang Tang , Yongqing Fan , Tingwen Huang

This paper investigates the reduced attitude formation control problem for a group of rigid-body agents using feedback based on relative attitude information. Under both undirected and directed cycle graph topologies, it is shown that…

Optimization and Control · Mathematics 2018-05-22 Wenjun Song , Johan Markdahl , Silun Zhang , Xiaoming Hu , Yiguang Hong

This paper studies a stylized model of local interaction where agents choose from an ever increasing set of vertically ranked actions, e.g. technologies. The driving forces of the model are infrequent upward shifts (``updates''), followed…

Statistical Mechanics · Physics 2007-05-23 A. Arenas , A. Diaz-Guilera , C. J. Perez , F. Vega-Redondo

The problem of multi-agent formation control for target tracking is considered in this paper. The target is an irregular dynamic shape approximated by a circle with moving centre and varying radius. It is assumed that there are n agents and…

Optimization and Control · Mathematics 2018-09-25 Joana Fonseca , Jieqiang Wei , Karl H. Johansson , Tor Arne Johansen