Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Collisions in Multiple Dimensions: Problem Solving01:06

Collisions in Multiple Dimensions: Problem Solving

3.7K
In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
3.7K
Collisions in Multiple Dimensions: Introduction01:05

Collisions in Multiple Dimensions: Introduction

4.8K
It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a...
4.8K
Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

625
A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
625
Two-Dimensional Force System: Problem Solving01:29

Two-Dimensional Force System: Problem Solving

540
Solving problems related to two-dimensional force systems is an essential aspect of mechanics and engineering. By applying the principles of vector analysis and force equilibrium, one can determine the effect of multiple forces acting on an object in a two-dimensional space.
The first step to solving a two-dimensional force system problem is to draw a free-body diagram of the object under consideration. This diagram helps identify all the external forces acting on the object, including their...
540
One-Degree-of-Freedom System01:24

One-Degree-of-Freedom System

465
In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
465
Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

46
The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
46

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Role of CYP3A5 and CYP3A4 in the metabolism and toxicity of 10-hydroxyl mesaconitine, a new potential toxicity marker of Radix Aconiti Lateralis Preparata (Fuzi), in vitro and in vivo.

Drug metabolism and disposition: the biological fate of chemicals·2026
Same author

Frequency-domain stability analysis of mixed traffic flow considering communication degradation and human driving heterogeneity.

PloS one·2026
Same author

First-principles prediction of β-phase SnA<sub>2</sub>N<sub>4</sub> (A = Si; Ge) monolayers: outstanding mechanical anisotropy and high electron mobility for FET devices.

Physical chemistry chemical physics : PCCP·2026
Same author

Advances in artificial metabzymes for molecular metabolism restoration in aging-related diseases.

Chemical communications (Cambridge, England)·2026
Same author

Self-assembly for cuproptosis-based cancer therapy and imaging.

Chemical Society reviews·2026
Same author

Hsa_circ_0002111 implicates KTC-1 cell motility and modulates migration and invasion via miR-432-5p/CDKN2B axis.

Scientific reports·2026

Related Experiment Video

Updated: Jun 5, 2025

The HoneyComb Paradigm for Research on Collective Human Behavior
06:48

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

9.3K

Spatial barycentric coordinates based distributed formation control for multi-agent systems.

Fangyuan Li1, Jialing Ning1, Hui Liu2

  • 1School of Electrical and Information Engineering, Zhengzhou University, China; Robot Perception and Control Engineering Research Center in Henan Province, China.

ISA Transactions
|December 13, 2024
PubMed
Summary

This study presents a new formation control algorithm for multi-agent systems without GPS. It uses inter-agent distances and anchor node positions to achieve desired formations in 3D space.

Keywords:
Barycentric coordinatesDistributed algorithmFormation controlMulti-agent systems

More Related Videos

A Networked Desktop Virtual Reality Setup for Decision Science and Navigation Experiments with Multiple Participants
06:28

A Networked Desktop Virtual Reality Setup for Decision Science and Navigation Experiments with Multiple Participants

Published on: August 26, 2018

5.9K
Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

8.9K

Related Experiment Videos

Last Updated: Jun 5, 2025

The HoneyComb Paradigm for Research on Collective Human Behavior
06:48

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

9.3K
A Networked Desktop Virtual Reality Setup for Decision Science and Navigation Experiments with Multiple Participants
06:28

A Networked Desktop Virtual Reality Setup for Decision Science and Navigation Experiments with Multiple Participants

Published on: August 26, 2018

5.9K
Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

8.9K

Area of Science:

  • Robotics
  • Control Theory
  • Distributed Systems

Background:

  • Many multi-agent systems require specific formations for task execution.
  • Limited access to localization technologies like GPS poses a challenge for formation control.
  • Existing methods may not be suitable for decentralized systems operating in 3D space.

Purpose of the Study:

  • To investigate formation control for multi-agent systems in 3D space without relying on GPS.
  • To develop a distributed algorithm for achieving desired formations using inter-agent distances and anchor node positions.
  • To ensure unique representation of formation shapes using generalized spatial barycentric coordinates.

Main Methods:

  • Representing agent positions using generalized spatial barycentric coordinates.
  • Deriving conditions for unique formation shape representation.
  • Proposing a distributed spatial formation control algorithm based on this representation.
  • Validating the algorithm through simulation studies.

Main Results:

  • A novel method for representing agent positions in 3D space using generalized spatial barycentric coordinates.
  • Conditions established for the unique representation of formation shapes.
  • A distributed algorithm demonstrated to guide agents to desired formations effectively.
  • Simulation results confirm the algorithm's correctness and effectiveness.

Conclusions:

  • The proposed approach enables robust formation control for multi-agent systems lacking GPS.
  • Generalized spatial barycentric coordinates provide a viable framework for decentralized formation tasks.
  • The developed algorithm offers a practical solution for real-world applications requiring precise formations.