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Related papers: Formation Control with Triangulated Laman Graphs

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This paper investigates the reduced attitude formation control problem for a group of rigid-body agents using feedback based on relative attitude information. Under both undirected and directed cycle graph topologies, it is shown that…

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

Controlled Lagrangian and matching techniques are developed for the stabilization of relative equilibria and equilibria of discrete mechanical systems with symmetry as well as broken symmetry. Interesting new phenomena arise in the…

Optimization and Control · Mathematics 2007-05-23 Anthony M. Bloch , Melvin Leok , Jerrold E. Marsden , Dmitry V. Zenkov

This work presents a novel framework for the formation control of multiple autonomous ground vehicles in an on-road environment. Unique challenges of this problem lie in 1) the design of collision avoidance strategies with obstacles and…

Robotics · Computer Science 2016-05-03 Xiangjun Qian , Florent Altché , Arnaud de La Fortelle , Fabien Moutarde

This paper discusses cooperative stabilization control of rigid formations via an event-based approach. We first design a centralized event-based formation control system, in which a central event controller determines the next triggering…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Zhiyong Sun , Qingchen Liu , Na Huang , Changbin Yu , Brian D. O. Anderson

This paper considers the fixed-time control problem of a multi-agent system composed of a class of Euler-Lagrange dynamics with parametric uncertainty and a dynamic leader under a directed communication network. A distributed fixed-time…

Optimization and Control · Mathematics 2022-02-17 Yi Dong , Zhiyong Chen

In this paper, we discuss quantization effects in rigid formation control systems when target formations are described by inter-agent distances. Because of practical sensing and measurement constraints, we consider in this paper distance…

Systems and Control · Computer Science 2018-08-14 Zhiyong Sun , Hector Garcia de Marina , Brian D. O. Anderson , Ming Cao

In this letter, we investigate the formation control problem of mobile robots moving in the plane where, instead of assuming robots to be simple points, each robot is assumed to have the form of a disk with equal radius. Based on interior…

Systems and Control · Electrical Eng. & Systems 2020-06-09 Nelson P. K. Chan , Bayu Jayawardhana , Hector Garcia de Marina

This paper presents a geometric input-output analysis of hidden modes in distance-based formation control. We study the linearized dynamics under a gradient control law to characterize the system's structural limitations and their dynamic…

Optimization and Control · Mathematics 2025-11-18 Solomon Goldgraber Casspi , Daniel Zelazo

This is a complete version of the 6-page IEEE TAC technical note [1]. In this paper, we consider the distributed surrounding of a convex target set by a group of agents with switching communication graphs. We propose a distributed…

Systems and Control · Computer Science 2015-10-21 Youcheng Lou , Yiguang Hong

Traveling localized spots represent an important class of self-organized two-dimensional patterns in reaction-diffusion systems. We study open-loop control intended to guide a stable spot along a desired trajectory with desired velocity.…

Pattern Formation and Solitons · Physics 2018-09-21 Steffen Martens , Christopher Ryll , Jakob Löber , Fredi Tröltzsch , Harald Engel

A high degree of control over the structure and dynamics of domain patterns in nonequilibrium systems can be achieved by applying nonuniform external fields near parity breaking front bifurcations. An external field with a linear spatial…

patt-sol · Physics 2009-10-28 A. Hagberg , E. Meron , I. Rubinstein , B. Zaltzman

A technique that allows a Formation-Enforcing Control (FEC) derived from graph rigidity theory to interface with a realistic relative localization system onboard lightweight Unmanned Aerial Vehicles (UAVs) is proposed in this paper. The…

Robotics · Computer Science 2026-04-08 Viktor Walter , Matouš Vrba , Daniel Bonilla Licea , Matej Hilmer , Martin Saska

Motivated by the problem of formation control for vehicles moving at unit speed in three-dimensional space, we are led to models of gyroscopically interacting particles, which require the machinery of curves and frames to describe and…

Optimization and Control · Mathematics 2007-05-23 E. W. Justh , P. S. Krishnaprasad

The note focuses on the differential geometric approach to the study of nonlinear systems that are affine in control. We first develop normal forms for nonlinear system affine in control. Based on these normal forms, we then address the…

Dynamical Systems · Mathematics 2017-07-18 Xinmin Liu

Formation control of autonomous agents can be seen as a physical system of individuals interacting with local potentials, and whose evolution can be described by a Lagrangian function. In this paper, we construct and implement forced…

Systems and Control · Electrical Eng. & Systems 2020-10-02 Leonardo Colombo , Hector Garcia de Marina

In this paper, we investigate a decentralized control problem with nested subsystems, which is a general model for one-directional communication amongst many subsystems. The noises in our dynamics are modelled as uncertain variables which…

Optimization and Control · Mathematics 2022-06-14 Aditya Dave , Nishanth Venkatesh , Andreas A. Malikopoulos

Graph Transformers can mix information globally, but this flexibility also creates failure modes: some tasks require long-range communication while others are better served by local interaction. We study this through a synthetic…

Machine Learning · Computer Science 2026-04-27 Qinhan Hou , Jing Tang

We investigate the important problem of certifying stability of reinforcement learning policies when interconnected with nonlinear dynamical systems. We show that by regulating the input-output gradients of policies, strong guarantees of…

Systems and Control · Computer Science 2018-10-30 Ming Jin , Javad Lavaei

Dimensionality reduction represents the process of generating a low dimensional representation of high dimensional data. Motivated by the formation control of mobile agents, we propose a nonlinear dynamical system for dimensionality…

Machine Learning · Computer Science 2025-01-17 Taeuk Jeong , Yoon Mo Jung , Euntack Lee

Different from most of the formation strategies where robots require unique labels to identify topological neighbors to satisfy the predefined shape constraints, we here study the problem of identity-less distributed shape formation in…

Robotics · Computer Science 2025-04-09 Guibin Sun , Yang Xu , Kexin Liu , Jinhu Lü