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Given an ensemble of autonomous agents and a task to achieve cooperatively, how much do the agents need to know about the state of the ensemble and about the task in order to achieve it? We introduce new methods to understand these aspects…

最优化与控制 · 数学 2011-01-20 M. -A. Belabbas

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…

动力系统 · 数学 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…

最优化与控制 · 数学 2011-10-07 M. -A. Belabbas

In this paper, we develop new methods for the analysis of decentralized control systems and we apply them to formation control problems. The basic set-up consists of a system with multiple agents corresponding to the nodes of a graph whose…

最优化与控制 · 数学 2011-01-20 M. -A. Belabbas

Formation control deals with the design of decentralized control laws that stabilize agents at prescribed distances from each other. We call any configuration that satisfies the inter-agent distance conditions a target configuration. It is…

系统与控制 · 计算机科学 2015-03-30 Xudong Chen , M. -A. Belabbas , Tamer Basar

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…

最优化与控制 · 数学 2026-01-14 Zhaozhan Yao , Yuhua Yao , Xiaoming Hu

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…

系统与控制 · 计算机科学 2019-03-05 Gangshan Jing , Guofeng Zhang , Heung Wing Joseph Lee , Long Wang

In this paper, we present a novel 3D formation control scheme for directed graphs in a leader-follower configuration, achieving (almost) global convergence to the desired shape. Specifically, we introduce three controlled variables…

系统与控制 · 电气工程与系统科学 2025-02-05 Omid Mirzaeedodangeh , Farhad Mehdifar , Dimos V. Dimarogonas

In this document, we deal with the stabilization problem of slow-fast systems (or singularly perturbed Ordinary Differential Equations) at a non-hyperbolic point. The class of systems studied here have the following properties: 1) they have…

系统与控制 · 计算机科学 2017-04-26 H. Jardon-Kojakhmetov , Jacquelien M. A. Scherpen , D. del Puerto-Flores

In this paper, we study the problem of formation keeping of a network of strictly passive systems when very coarse information is exchanged. We assume that neighboring agents only know whether their relative position is larger or smaller…

系统与控制 · 计算机科学 2013-08-01 Matin Jafarian , Claudio De Persis

This paper presents a new approach to distributed nonlinear control for formation acquisition and maintenance, inspired by recent results on cyclic topologies and based on tools from contraction theory. First, simple nonlinear control laws…

斑图形成与孤子 · 物理学 2010-11-30 Jaime Ramirez-Riberos , Jean-Jacques Slotine

In the formation control problem for autonomous robots a distributed control law steers the robots to the desired target formation. A local stability result of the target formation can be derived by methods of linearization and center…

最优化与控制 · 数学 2010-01-26 Florian Dorfler , Bruce Francis

This work develops a symmetry-based framework for formation control on cycle graphs using Dihedral point-group constraints. We show that enforcing inter-agent reflection symmetries, together with anchoring a single designated agent to its…

系统与控制 · 电气工程与系统科学 2025-12-10 Zamir Martinez , Daniel Zelazo

This paper discusses generalized weak rigidity theory, and aims to apply the theory to formation control problems with a gradient flow law. The generalized weak rigidity theory is utilized in order that desired formations are characterized…

系统与控制 · 计算机科学 2020-04-28 Seong-Ho Kwon , Hyo-Sung Ahn

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…

最优化与控制 · 数学 2019-09-13 Chen Wang , Shuai Li , Weiguo Xia , Jinan Sun , Guangming Xie

In this paper, we investigate the controllability of a class of formation control systems. Given a directed graph, we assign an agent to each of its vertices and let the edges of the graph describe the information flow in the system. We…

系统与控制 · 计算机科学 2015-06-02 Xudong Chen , M. -A. Belabbas , Tamer Basar

We introduce and analyze a model for decentral- ized control. The model is broad enough to include problems such as formation control, decentralization of the power grid and flocking. The objective of this paper is twofold. First, we show…

最优化与控制 · 数学 2011-10-07 M. -A. Belabbas

The regularized theories are non-local at the scale of the cutoff, leading so to the usual difficulties of non-local theories. In this work the conservation laws and causality are investigated for classical field theories with multi-cluster…

高能物理 - 理论 · 物理学 2018-03-14 Janos Polonyi

Discrete models have a long tradition in engineering, including finite state machines, Boolean networks, Petri nets, and agent-based models. Of particular importance is the question of how the model structure constrains its dynamics. This…

分子网络 · 定量生物学 2011-08-02 Reinhard Laubenbacher , David Murrugarra , Alan Veliz-Cuba

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…

最优化与控制 · 数学 2018-09-18 Chen Wang , Weiguo Xia , Jinan Sun , Ruifeng Fan , Guangming Xie
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