Almost Global Consensus on the -Sphere

J Markdahl, J Thunberg… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
This paper establishes novel results regarding the global convergence properties of a large
class of consensus protocols for multiagent systems that evolve in continuous time on the n …

Event-triggered attitude consensus with absolute and relative attitude measurements

X **, Y Shi, Y Tang, X Wu - Automatica, 2020 - Elsevier
In this paper, we consider the event-triggered attitude consensus of multiple rigid-body
systems. Two event-triggered attitude consensus protocols are designed under the absolute …

High-dimensional Kuramoto models on Stiefel manifolds synchronize complex networks almost globally

J Markdahl, J Thunberg, J Goncalves - Automatica, 2020 - Elsevier
The Kuramoto model of coupled phase oscillators is often used to describe synchronization
phenomena in nature. Some applications, eg, quantum synchronization and rigid-body …

Almost global convergence to practical synchronization in the generalized Kuramoto model on networks over the n-sphere

J Markdahl, D Proverbio, L Mi, J Goncalves - Communications Physics, 2021 - nature.com
From the flashing of fireflies to autonomous robot swarms, synchronization phenomena are
ubiquitous in nature and technology. They are commonly described by the Kuramoto model …

On equilibria and consensus of the Lohe model with identical oscillators

J Zhang, J Zhu, C Qian - SIAM Journal on Applied Dynamical Systems, 2018 - SIAM
Equilibria and consensus dynamics of the Lohe model with identical oscillators are
investigated under more general interconnection topologies. In the existing literatures on the …

A gradient-free three-dimensional source seeking strategy with robustness analysis

S Al-Abri, W Wu, F Zhang - IEEE Transactions on Automatic …, 2018 - ieeexplore.ieee.org
Distributed source seeking in a three-dimensional (3-D) environment without explicit
estimation of the gradient of the field is challenging. Nevertheless, for a swarm of an arbitrary …

[หนังสือ][B] Cooperative coordination and formation control for multi-agent systems

Z Sun - 2018 - books.google.com
The thesis presents new results on multi-agent formation control, focusing on the distributed
stabilization control of rigid formation shapes. It analyzes a range of current research …

Synchronization on circles and spheres with nonlinear interactions

C Criscitiello, Q Rebjock, AD McRae… - arxiv preprint arxiv …, 2024 - arxiv.org
We consider the dynamics of $ n $ points on a sphere in $\mathbb {R}^ d $($ d\geq 2$)
which attract each other according to a function $\varphi $ of their inner products. When …

On exponential synchronization rates for high-dimensional Kuramoto models with identical oscillators and digraphs

S Peng, J Zhang, J Zhu, J Lu, X Li - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
For a high-dimensional Kuramoto model with identical oscillators under a general digraph
that has a directed spanning tree, although the exponential synchronization has been …

Collision avoidance of multiagent systems on Riemannian manifolds

JR Goodman, LJ Colombo - SIAM Journal on Control and Optimization, 2022 - SIAM
This paper studies variational collision avoidance problems for multiagent systems on
complete Riemannian manifolds. That is, we minimize an energy functional, among a set of …