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Distributed Anonymous Mobile Robots: Formation of Geometric Patterns

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Abstract
In this note we make a minor correction to a scheme for robots to broadcast their private information. All major results of the paper [I. Suzuki and M. Yamashita, SIAM J. Comput., 28 (1999), pp. 1347-1363] hold with this correction.

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Coverage control for mobile sensing networks

TL;DR: In this paper, the authors describe decentralized control laws for the coordination of multiple vehicles performing spatially distributed tasks, which are based on a gradient descent scheme applied to a class of decentralized utility functions that encode optimal coverage and sensing policies.
BookDOI

Distributed Control of Robotic Networks: A Mathematical Approach to Motion Coordination Algorithms

TL;DR: This self-contained introduction to the distributed control of robotic networks offers a broad set of tools for understanding coordination algorithms, determining their correctness, and assessing their complexity; and it analyzes various cooperative strategies for tasks such as consensus, rendezvous, connectivity maintenance, deployment, and boundary estimation.
Journal ArticleDOI

Necessary and sufficient graphical conditions for formation control of unicycles

TL;DR: It is proved that formation stabilization to a point is feasible if and only if the sensor digraph has a globally reachable node.
Journal ArticleDOI

Stability analysis of swarms

TL;DR: It is shown that the individuals (autonomous agents or biological creatures) will form a cohesive swarm in a finite time and an explicit bound on the swarm size is obtained, which depends only on the parameters of the swarm model.
Journal ArticleDOI

Local control strategies for groups of mobile autonomous agents

TL;DR: The problem of achieving a specified formation among a group of mobile autonomous agents by distributed control is studied, and convergence to a point is feasible and convergence is proved under certain conditions.
References
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Proceedings ArticleDOI

Self-assembling machine

TL;DR: The design of a machine which is composed of homogeneous mechanical units, and the control software of the unit which realizes "self-assembly," one of the basic functions of this machine is developed.
Journal ArticleDOI

Computing on anonymous networks. I. Characterizing the solvable cases

TL;DR: The symmetricity of a network is related to its 1- and 2-factors in terms of a new graph property called "symmetricity" in each of the four cases (a)-(4) above, to characterize the class of networks on which each of these problems (a)(d) is solvable.
Journal ArticleDOI

Self-stabilization

TL;DR: Self-stabilization is defined, its significance in the context of fault tolerance, the important research themes that have arisen from it, and the relevant results are defined.
Journal ArticleDOI

Distributed algorithms for formation of geometric patterns with many mobile robots

TL;DR: It turns out that in many cases most robots execute an identical, simple algorithm, and a method for controlling a group of mobile robots in a distributed manner is discussed.
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