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We study the general formation problem for a group of mobile agents in a plane, in which the agents are required to maintain a distribution pattern, as well as to rotate around or remain static relative to a static/moving target. The…

Optimization and Control · Mathematics 2018-09-18 Chen Wang , Weiguo Xia , Jinan Sun , Ruifeng Fan , Guangming Xie

This work introduces a distributed formation control strategy for multi-agent systems based solely on rotation symmetry constraints. We propose a potential function that enforces inter-agent \textbf{rotational} symmetries, whose gradient…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Zamir Martinez , Daniel Zelazo

Non-uniform scaling control of formation enables multi-agent systems to adjust their shape by scaling with different ratios along different coordinate axes, offering enhanced flexibility in complex environments. However, like most existing…

Systems and Control · Electrical Eng. & Systems 2026-05-29 Tao He , Gangshan Jing

We study a distributed facility location problem in which a set of agents, each with a private position on the real line, is partitioned into a collection of fixed, disjoint groups. The goal is to open $k$ facilities at locations chosen…

Computer Science and Game Theory · Computer Science 2026-01-22 Argyrios Deligkas , Panagiotis Kanellopoulos , Alexandros A. Voudouris

We study the problem of distance-based formation control in autonomous multi-agent systems in which only distance measurements are available. This means that the target formations as well as the sensed variables are both determined by…

Dynamical Systems · Mathematics 2018-06-28 Raik Suttner , Zhiyong Sun

We introduce a distributed control architecture for a class of heterogeneous, nonlinear dynamical agents moving in the "string" formation, while guaranteeing trajectory tracking, collision avoidance and the preservation of the formation's…

Systems and Control · Computer Science 2018-06-19 Serban Sabau , Irinel-Constantin Morarescu , Lucian Busoniu , Ali Jadbabaie

Most rigid formation controllers reported in the literature aim to only stabilize a rigid formation shape, while the formation orientation is not controlled. This paper studies the problem of controlling rigid formations with prescribed…

Systems and Control · Computer Science 2016-06-13 Zhiyong Sun , Myoung-Chul Park , Brian D. O. Anderson , Hyo-Sung Ahn

This paper studies the problem of distributed formation maneuver control of multi-agent systems via complex Laplacian. We will show how to change the translation, scaling, rotation, and also the shape of formation continuously by only…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Xu Fang , Lihua Xie

This paper introduces a diffusion-based planner for leader--follower formation control in cluttered environments. The diffusion policy is used to generate the trajectory of the midpoint of two leaders as a rigid bar in the plane, thereby…

Robotics · Computer Science 2026-01-19 Hieu Do Quang , Chien Truong-Quoc , Quoc Van Tran

Self-organization is a process where a stable pattern is formed by the cooperative behavior between parts of an initially disordered system without external control or influence. It has been introduced to multi-agent systems as an internal…

Artificial Intelligence · Computer Science 2021-05-27 Jieting Luo , Beishui Liao , John-Jules Meyer

This paper addresses the problem of formation control and tracking a of desired trajectory by an Euler-Lagrange multi-agent systems. It is inspired by recent results by Qingkai et al. and adopts an event-triggered control strategy to reduce…

Systems and Control · Computer Science 2018-05-31 Christophe Viel , Sylvain Bertrand , Michel Kieffer , Hélène Piet-Lahanier

We present a distributed formation control strategy for agents with a variety of dynamics to achieve a desired planar formation. Our approach is based on the barycentric-coordinate-based (BCB) control, which is fully distributed, does not…

Robotics · Computer Science 2020-06-03 Kaveh Fathian , Sleiman Safaoui , Tyler H. Summers , Nicholas R. Gans

The problem of distributed controller synthesis for formation control of multi-agent systems is considered. The agents (single integrators) communicate over a communication graph and a decentralized linear feedback structure is assumed. One…

Optimization and Control · Mathematics 2013-05-17 Ameer K. Mulla , Rachel K. Kalaimani , Debraj Chakraborty , Madhu N. Belur

This study proposes a distributed algorithm that makes agents' adaptive grouping entrap multiple targets via automatic decision making, smooth flocking, and well-distributed entrapping. Agents make their own decisions about which targets to…

Multiagent Systems · Computer Science 2022-06-30 Chen Wang , Minqiang Gu , Wenxi Kuang , Dongliang Wang , Weicheng Luo , Zhaohui Shi , Zhun Fan

This paper considers a novel problem of how to choose an appropriate geometry for a group of agents with only shape constraints but with a flexible scale. Instead of assigning the formation system with a specific geometry, here the only…

Systems and Control · Computer Science 2015-03-18 Huang Huang , Changbin Yu , Qinghe Wu

This paper presents the formulation and analysis of a two time-scale optimization algorithm for multi-agent coordination for the purpose of distributed beamforming. Each agent is assumed to be randomly positioned with respect to each other…

Signal Processing · Electrical Eng. & Systems 2019-09-25 Jemin George , Anjaly Parayil , He Bai

We introduce and develop the concept of dispersion formation control, bridging a gap between shape-assembly studies in physics and biology and formation control theory. In current formation control studies, the control objectives typically…

Systems and Control · Electrical Eng. & Systems 2025-09-25 Jin Chen , Jesus Bautista Villar , Bayu Jayawardhana , Hector Garcia de Marina

We develop a learning-based algorithm for the distributed formation control of networked multi-agent systems governed by unknown, nonlinear dynamics. Most existing algorithms either assume certain parametric forms for the unknown dynamic…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Christos K. Verginis , Zhe Xu , Ufuk Topcu

Inspired by the chemotaxis interaction of living cells, we have developed an agent-based approach for self-organizing shape formation. Since all our simulations begin with a different uniform random configuration and our agents move…

Multiagent Systems · Computer Science 2018-03-13 Sean Grimes , Linge Bai , Andrew W. E. McDonald , David E. Breen

We propose a method to procedurally generate a familiar yet complex human artifact: the city. We are not trying to reproduce existing cities, but to generate artificial cities that are convincing and plausible by capturing developmental…

Graphics · Computer Science 2025-07-28 Thomas Lechner , Ben Watson , Uri Wilensky , Martin Felsen