Consensus and coordination on groups SO(3) and S3 over constant and state-dependent communication graphs

Crnkić, Aladin; Jacimovic, Milojica; Jaćimović, Vladimir; Mijajlović, Nevena

doi:10.1080/00051144.2020.1863544

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2021

2022

Publication Types

Select...

Book2

Article2

Other1

Relationship

Self Cite1

Independent4

Authors

Journals

Cited by 5 publications

(1 citation statement)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Different choices of coupling functions in the model ( 1) solve various problems in different scientific fields. For instance, this model is useful for coordination and consensus on groups S 3 and SO(3) [14], clustering of static and stream data [15,16], and other applications in science and engineering [17].…”

Section: Introductionmentioning

confidence: 99%

Interpolating Rotations with Non-abelian Kuramoto Model on the 3-Sphere

Kapić,

Crnkić

2021

Preprint

Self Cite

View full text Add to dashboard Cite

The paper presents a novel method for interpolating rotations based on the non-Abelian Kuramoto model on sphere S 3 . The algorithm, introduced in this paper, finds the shortest and most direct path between two rotations. We have discovered that it gives approximately the same results as a Spherical Linear Interpolation algorithm. Simulation results of our algorithm are visualized on S 2 using Hopf fibration. In addition, in order to gain a better insight, we have provided one short video illustrating the rotation of an object between two positions.

show abstract

Section: Introductionmentioning

confidence: 99%