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Bearing-based distributed formation control is attractive because it can be implemented using vision-based measurements to achieve a desired formation. Gradient-descent-based controllers using bearing measurements have been shown to have…

Systems and Control · Electrical Eng. & Systems 2022-03-25 Zili Wang , Sean B. Andersson , Roberto Tron

We study the problem of distance-based formation control in autonomous multi-agent systems in which only distance measurements are available. This means that the target formations as well as the sensed variables are both determined by…

Dynamical Systems · Mathematics 2018-06-28 Raik Suttner , Zhiyong Sun

In this paper, we first propose a novel maneuvering technique compatible with displacement-consensus-based formation controllers. We show that the formation can be translated with an arbitrary velocity by modifying the weights in the…

Systems and Control · Electrical Eng. & Systems 2020-08-11 Hector Garcia de Marina

This paper studies the distributed control and estimation of multi-agent systems based on bearing information. In particular, we consider two problems: (i) the distributed control of bearing-constrained formations using relative position…

Systems and Control · Computer Science 2015-03-31 Shiyu Zhao , Daniel Zelazo

We hereby develop the theory of Turing instability for reaction-diffusion systems defined on m-directed hypergraphs, the latter being generalization of hypergraphs where nodes forming hyperedges can be shared into two disjoint sets, the…

Pattern Formation and Solitons · Physics 2025-10-22 Marie Dorchain , Wilfried Segnou , Riccardo Muolo , Timoteo Carletti

This paper treats the problem of the merging of formations, where the underlying model of a formation is graphical. We first analyze the rigidity and persistence of meta-formations, which are formations obtained by connecting several rigid…

Multiagent Systems · Computer Science 2007-10-16 Julien M. Hendrickx , Changbin Yu , Baris Fidan , Brian D. O. Anderson

This paper proposes an observer-based formation tracking control approach for multi-vehicle systems with second-order motion dynamics, assuming that vehicles' relative or global position and velocity measurements are unavailable. It is…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Zhiqi Tang , Baris Fidan , Karl H. Johansson , Jonas Martensson , Tarek Hamel

Recently it has been reported that biased range-measurements among neighboring agents in the gradient distance-based formation control can lead to predictable collective motion. In this paper we take advantage of this effect and by…

Systems and Control · Computer Science 2016-09-26 Hector Garcia de Marina , Bayu Jayawardhana , Ming Cao

This work proposes an extension to the leader-first follower (LFF) class of graphs used to solve the bearing-only formation control problem over directed graphs. The first contribution provides an equilibrium, stability, and convergence…

Optimization and Control · Mathematics 2025-11-05 Jiacheng Shi , Daniel Zelazo

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

We propose a geometric approach to distance-based formation control modeled on a minimum-norm lifting of Riemannian gradient descent in edge-space to node-space. This yields a unified family of controllers, including the classical gradient…

Optimization and Control · Mathematics 2025-12-09 Louis Theran , Daniel Zelazo , Jessica Sidman

Pattern formation, arising from systems of autonomous reaction-diffusion equations, on networks has become a common topic of study in the scientific literature. In this work we focus primarily on directed networks. Although some work prior…

Pattern Formation and Solitons · Physics 2022-10-19 Joshua Ritchie

Rigidity of the interaction graph is a fundamental condition for achieving the desired formation which can be defined in terms of distance or bearing constraints between agents. In this paper, for reaching a unique formation with the same…

Systems and Control · Electrical Eng. & Systems 2023-09-20 Sara Mansourinasab , Mahdi Sojoodi , Seyed Reza Moghadasi

This paper investigates a distributed formation tracking control law for large-scale networks of mechanical systems. In particular, the formation network is represented by a directed communication graph with leaders and followers, where…

Systems and Control · Electrical Eng. & Systems 2022-03-18 N. Javanmardi , P. Borja , M. J. Yazdanpanah , J. M. A. Scherpen

In this paper, we study the construction and transformation of two-dimensional persistent graphs. Persistence is a generalization to directed graphs of the undirected notion of rigidity. In the context of moving autonomous agent formations,…

Multiagent Systems · Computer Science 2007-05-23 Julien M. Hendrickx , Baris Fidan , Changbin Yu , Brian D. O. Anderson , Vincent D. Blondel

We study the notion of structured realizability for linear systems defined over graphs. A stabilizable and detectable realization is structured if the state-space matrices inherit the sparsity pattern of the adjacency matrix of the…

Systems and Control · Computer Science 2012-12-11 Laurent Lessard , Maxim Kristalny , Anders Rantzer

We study the stability and robustness of large-scale vehicular formations, in which each vehicle is modeled as a double-integrator. Two types of information graphs are considered: directed trees and undirected graphs. We prove stability of…

Adaptation and Self-Organizing Systems · Physics 2011-08-09 He Hao , Prabir Barooah

This paper addresses the problem of position- and orientation-based formation control of a class of second-order nonlinear multi-agent systems in a $3$D workspace with obstacles. More specifically, we design a decentralized control protocol…

Systems and Control · Computer Science 2017-12-07 Christos K. Verginis , Alexandros Nikou , Dimos V. Dimarogonas

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…

Optimization and Control · Mathematics 2010-01-26 Florian Dorfler , Bruce Francis

This paper proposes a finite-time input-to-state stable (FTISS) bearing-only formation control law that rejects unknown constant disturbances. Unlike existing finite-time bearing-based formation control laws, which typically rely on the…

Systems and Control · Electrical Eng. & Systems 2024-12-23 Hong Liang Cheah , Mohammad Deghat