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In this paper, formation control for reduced attitude is studied, in which both stationary and rotating regular tetrahedron formation can be achieved and are asymptotically stable under a large family of gain functions in the control.…

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

By an undirected rigid formation of mobile autonomous agents is meant a formation based on graph rigidity in which each pair of "neighboring" agents is responsible for maintaining a prescribed target distance between them. In a recent paper…

Systems and Control · Computer Science 2015-03-04 Shaoshuai Mou , A. Stephen Morse , Mohamed Ali Belabbas , Zhiyong Sun , Brian D. O. Anderson

This paper addresses formation control of reduced attitudes in which a continuous control protocol is proposed for achieving and stabilizing all regular polyhedra (also known as Platonic solids) under a unified framework. The protocol…

Optimization and Control · Mathematics 2018-05-22 Silun Zhang , Fenghua He , Yiguang Hong , Xiaoming Hu

This paper studies the integrated position and attitude control problem for multi-agent systems of 3D rigid bodies. While the state-of-the-art method in [Olfati-Saber and Murray, 2004] established the theoretical foundation for rigid-body…

Optimization and Control · Mathematics 2025-08-15 Chunfeng Cui , Liqun Qi , Hao Chen , Xiangke Wang

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

This paper presents an angle-based approach for distributed formation shape stabilization of multi-agent systems in the plane. We develop an angle rigidity theory to study whether a planar framework can be determined by angles between…

Systems and Control · Computer Science 2019-03-05 Gangshan Jing , Guofeng Zhang , Heung Wing Joseph Lee , Long Wang

Distributed formation maneuver control refers to the problem of maneuvering a group of agents to change their formation shape by adjusting the motions of partial agents, where the controller of each agent only requires local information…

Systems and Control · Electrical Eng. & Systems 2026-05-21 Tao He , Gangshan Jing

This brief proposes a distributed formation control strategy via matrix-weighted Laplacian that can achieve a similar formation in 2-D planar using inter-agent relative displacement measurement. Formation patterns that include translation,…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Zhipeng Fan , Yujie Xu , Mingyu Fu , Han Sun , Weiqiu Zhang , Heng Zhang

In this paper, we study the emergence of circular formation for agents in cyclic pursuit. Each agent is a unicycle traveling at a fixed common forward speed. We first establish a necessary and sufficient condition for the existence of…

Optimization and Control · Mathematics 2026-01-14 Zhaozhan Yao , Yuhua Yao , Xiaoming Hu

This paper addresses the bipartite consensus-control problem in open multi-agent systems containing both cooperative and antagonistic interactions. In these systems, new agents can join and new interactions can be formed over time.…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Pelin Sekercioglu , Angela Fontan , Dimos V. Dimarogonas

This paper investigates a pattern formation control problem for a multi-agent system modeled with given interaction topology, in which $m$ of the $n$ agents are chosen as leaders and consequently a control signal is added to each of the…

Systems and Control · Electrical Eng. & Systems 2025-05-05 Tianhao Li , Yibei Li , Zhixin Liu , Xiaoming Hu

We consider the problem of distributed attitude estimation of multi-agent systems, evolving on $SO(3)$, relying on individual angular velocity and relative attitude measurements. The interaction graph topology is assumed to be an undirected…

Systems and Control · Electrical Eng. & Systems 2024-05-17 Mouaad Boughellaba , Abdelhamid Tayebi

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

This paper deals with the leader-follower attitude synchronization problem for a group of heterogeneous rigid body systems on $SO(3)$ under an undirected, connected, and acyclic graph communication topology. The proposed distributed control…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Yiliang Li , Jun-e Feng , Abdelhamid Tayebi

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

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

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

In this paper, the recent developments on distributed coordination control, especially the consensus and formation control, are summarized with the graph theory playing a central role, in order to present a cohesive overview of the…

Multiagent Systems · Computer Science 2015-05-12 Xiangke Wang , Xun Li , Yirui Cong , Zhiwen Zeng , Zhiqiang Zheng

This paper presents global tracking strategies for the attitude dynamics of a rigid body. It is well known that global attractivity is prohibited for continuous attitude control systems on the special orthogonal group. Such topological…

Optimization and Control · Mathematics 2017-08-28 Taeyoung Lee , Dong-Eui Chang , Yongsoon Eun

The paper addresses the problem of consensus seeking among second-order linear agents interconnected in a specific ring topology. Unlike the existing results in the field dealing with one-directional digraphs arising in various cyclic…

Multiagent Systems · Computer Science 2018-12-04 Sergei Parsegov , Pavel Chebotarev
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