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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

Given a multi-agent linear system, we formalize and solve a trajectory optimization problem that encapsulates trajectory tracking, distance-based formation control and input energy minimization. To this end, a numerical projection operator…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Marco Fabris , Angelo Cenedese , John Hauser

This letter presents two bearing-constrained formation tracking control protocols for multiple nonholonomic agents based respectively on the bearing vectors and displacements between the agents. The desired formation pattern of the system…

Optimization and Control · Mathematics 2022-02-15 Quoc Van Tran , Jinwhan Kim

Formation strategy is one of the most important parts of many multi-agent systems with many applications in real world problems. In this paper, a framework for learning this task in a limited domain (restricted environment) is proposed. In…

This work explores a collaborative method for ensuring safety in multi-agent formation control problems. We formulate a control barrier function (CBF) based safety filter control law for a generic distributed formation controller and extend…

Robotics · Computer Science 2024-10-08 Brooks A. Butler , Chi Ho Leung , Philip E. Paré

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

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 the collective circular motion of multi-agent systems in which all the agents are required to traverse different circles or a common circle at a prescribed angular velocity. It is required to achieve these collective…

Systems and Control · Computer Science 2016-03-18 Anoop Jain , Debasish Ghose

In this work, we present solutions to the flocking and target interception problems of multiple nonholonomic unicycle-type robots using the distance-based framework. The control laws are designed at the kinematic level and are based on the…

Robotics · Computer Science 2018-12-07 Milad Khaledyan , Tairan Liu , Marcio de Queiroz

Over the past few decades, the research community has been interested in the study of multi-agent systems and their emerging collective dynamics. These systems are all around us in nature, like bacterial colonies, fish schools, bird flocks,…

Adaptation and Self-Organizing Systems · Physics 2023-12-12 Gourab Kumar Sar , Dibakar Ghosh

In this letter, we present a constraint-driven optimal control framework that achieves emergent cluster flocking within a constrained 2D environment. We formulate a decentralized optimal control problem that includes safety, flocking, and…

Optimization and Control · Mathematics 2022-03-22 Logan E. Beaver , Andreas A. Malikopoulos

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 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

Two different aspects of formation control of multiple agents subjected to linear transformation have been addressed in this paper. We consider a set of complex single integrator systems so that the dimension of the system reduces to half…

Systems and Control · Computer Science 2015-06-03 Soumic Sarkar , Indra Narayan Kar

In this paper we consider the problem of a multi-agent system achieving a formation in the presence of misbehaving or adversarial agents. We introduce a novel continuous time resilient controller to guarantee that normally behaving agents…

Systems and Control · Computer Science 2021-06-11 James Usevitch , Kunal Garg , Dimitra Panagou

Starting from recent experimental observations of starlings and jackdaws, we propose a minimal agent-based mathematical model for bird flocks based on a system of second-order delayed stochastic differential equations with discontinuous…

Adaptation and Self-Organizing Systems · Physics 2021-10-08 Emiliano Cristiani , Marta Menci , Marco Papi , Léonard Brafman

Conventional affine formation control (AFC) empowers a network of agents with flexible but collective motions - a potential which has not yet been exploited for large-scale swarms. One of the key bottlenecks lies in the design of an…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Zhonggang Li , Geert Leus , Raj Thilak Rajan

In this paper, we take a first step towards generalizing a recently proposed method for dealing with the problem of convergence to incorrect equilibrium points of distance-based formation controllers. Specifically, we introduce a distance…

Multiagent Systems · Computer Science 2024-12-20 Tairan Liu , Marcio de Queiroz , Pengpeng Zhang , Milad Khaledyan

We address the optimal dynamic formation problem in mobile leader-follower networks where an optimal formation is generated to maximize a given objective function while continuously preserving connectivity. We show that in a convex mission…

Optimization and Control · Mathematics 2015-08-20 Xinmiao Sun , Christos G. Cassandras

This paper addresses the problem of distance- and orientation-based formation control of a class of second-order nonlinear multi-agent systems in 3D space, under static and undirected communication topologies. More specifically, we design a…

Systems and Control · Computer Science 2017-04-07 Alexandros Nikou , Christos K. Verginis , Dimos V. Dimarogonas