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This paper is concerned with a formation shaping problem for point agents in a two-dimensional space, where control avoids the possibility of reflection ambiguities. One solution for this type of problems was given first for three or four…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Toshiharu Sugie , Fei Tong , Brian D. O. Anderson , Zhiyong Sun

Formation control is concerned with the design of control laws that stabilize agents at given distances from each other, with the constraint that an agent's dynamics can depend only on a subset of other agents. When the information flow…

Optimization and Control · Mathematics 2011-12-06 M. -A. Belabbas

Populations of agents often exhibit surprising collective behavior emerging from simple local interactions. The common belief is that the agents must posses a certain level of cognitive abilities for such an emerging collective behavior to…

Statistical Mechanics · Physics 2025-04-15 M. Andrecut

We develop a rigidity theory for bar-joint frameworks in Euclidean $d$-space in which specified classes of edges are allowed to change length in a coordinated fashion that requires differences of lengths to be preserved within each class.…

Metric Geometry · Mathematics 2022-06-14 Bernd Schulze , Hattie Serocold , Louis Theran

Autonomous shape and structure formation is an important problem in the domain of large-scale multi-agent systems. In this paper, we propose a 3D structure representation method and a distributed structure formation strategy where settled…

Multiagent Systems · Computer Science 2023-08-01 Tamzidul Mina , Wonse Jo , Shyam S. Kannan , Byung-Cheol Min

For most existing prescribed performance formation control methods, performance requirements are not directly imposed on the relative states between agents but on the consensus error, which lacks a clear physical interpretation of their…

Systems and Control · Electrical Eng. & Systems 2024-08-02 Kun Li , Kai Zhao , Yongduan Song , Lihua Xie

In this paper, we develop a hybrid distance-angle rigidity theory that involves heterogeneous distances (or unsigned angles) and signed constraints for a framework in the 2-D and 3-D space. The new rigidity theory determines a (locally)…

Systems and Control · Electrical Eng. & Systems 2020-01-01 Seong-Ho Kwon , Zhiyong Sun , Brian D. O. Anderson , Hyo-Sung Ahn

A decentralized switched controller is developed for dynamic agents to perform global formation configuration convergence while maintaining network connectivity and avoiding collision within agents and between stationary obstacles, using…

Systems and Control · Computer Science 2013-10-02 Teng-Hu Cheng , Zhen Kan , Joel A. Rosenfeld , Warren E. Dixon

This paper studies the problem of multi-agent cooperative localization of a common reference coordinate frame in $\mathbb{R}^3$. Each agent in a system maintains a body-fixed coordinate frame and its actual \textit{frame transformation}…

Optimization and Control · Mathematics 2019-07-11 Quoc Van Tran , Hyo-Sung Ahn

This paper presents a position-based flocking model for interacting agents, balancing cohesion-separation and alignment to achieve stable collective motion. The model modifies a position-velocity-based approach by approximating velocity…

Multiagent Systems · Computer Science 2025-08-08 Hossein B. Jond

This paper proposes a novel maneuvering technique for the complex-Laplacian-based formation control. We show how to modify the original weights that build the Laplacian such that a designed steady-state motion of the desired shape emerges…

Systems and Control · Electrical Eng. & Systems 2021-06-04 Hector Garcia de Marina

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

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

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…

In this letter, we study the case of autonomous agents which are required to move to some new position based solely on the distance measured from predetermined reference points, or anchors. A novel approach, referred to as…

Systems and Control · Electrical Eng. & Systems 2024-08-15 Michael Napoli , Roberto Tron

Flocking is a coordinated collective behavior that results from local sensing between individual agents that have a tendency to orient towards each other. Flocking is common among animal groups and might also be useful in robotic swarms. In…

Multiagent Systems · Computer Science 2018-04-25 Daniel Y. Fu , Emily S. Wang , Peter M. Krafft , Barbara J. Grosz

This paper addresses the problem of time-varying bearing formation control in $d$ $(d\ge 2)$-dimensional Euclidean space by exploring Persistence of Excitation (PE) of the desired bearing reference. A general concept of Bearing Persistently…

Systems and Control · Electrical Eng. & Systems 2021-08-26 Zhiqi Tang , Rita Cunha , Tarek Hamel , Carlos Silvestre

Active agents with time-delayed interactions arise naturally in various real-world systems, such as biological systems, transportation networks and robotic swarms. Such systems are typically modeled as Delay Differential Equations (DDEs)…

Dynamical Systems · Mathematics 2025-09-03 Yu Wang , Andreas Amann , Jinde Cao , Jürgen Kurths , Serhiy Yanchuk

In this paper we present the self-stabilizing implementation of a class of token based algorithms. In the current work we only consider interactions between weak nodes. They are uniform, they do not have unique identifiers, are static and…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-06-16 Davide Canepa , Maria Gradinariu Potop-Butucaru

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 2022-07-19 Christos K. Verginis , Zhe Xu , Ufuk Topcu
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