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 …

Consensus on spheres: Convergence analysis and perturbation theory

C Lageman, Z Sun - 2016 IEEE 55th Conference on Decision …, 2016 - ieeexplore.ieee.org
This paper studies an extension of Euclidean consensus dynamics to unit spheres. The use
of invariant manifolds techniques enables us not only to prove exponential asymptotic …

A lifting method for analyzing distributed synchronization on the unit sphere

J Thunberg, J Markdahl, F Bernard, J Goncalves - Automatica, 2018 - Elsevier
This paper introduces a new lifting method for analyzing convergence of continuous-time
distributed synchronization/consensus systems on the unit sphere. Points on the d …

Motion feasibility conditions for multiagent control systems on Lie groups

LJ Colombo, DV Dimarogonas - IEEE Transactions on Control …, 2019 - ieeexplore.ieee.org
We study the problem of motion feasibility for multiagent control systems on Lie groups with
collision-avoidance constraints. We first consider the problem for kinematic left-invariant …

Dynamic controllers for column synchronization of rotation matrices: a QR-factorization approach

J Thunberg, J Markdahl, J Goncalves - Automatica, 2018 - Elsevier
In the multi-agent systems setting, this paper addresses continuous-time distributed
synchronization of columns of rotation matrices. More precisely, k specific columns shall be …

Family of controllers for attitude synchronization on the sphere

PO Pereira, DV Dimarogonas - Automatica, 2017 - Elsevier
In this paper we study a family of controllers that guarantees attitude synchronization for a
network of agents in the unit sphere domain, ie, S 2. We propose distributed continuous …

A common framework for attitude synchronization of unit vectors in networks with switching topology

PO Pereira, D Boskos… - 2016 IEEE 55th …, 2016 - ieeexplore.ieee.org
In this paper, we study attitude synchronization for elements in the unit sphere of ℝ 3 and for
elements in the 3D rotation group, for a network with switching topology. The agents' angular …

Geometric Control of Thrust Propelled Systems

Ó Pereira, P Miguel - 2019 - diva-portal.org
This thesis was motivated and inspired by the AEROWORKS project, a European research
project, whose main goal was to deploy multiple heterogeneous unmanned aerial vehicles …

Attitude and pose formation control for multiple 3D rigid bodies based on unit quaternion representation

P van Goor, Z Sun, C Yu - 2018 37th Chinese Control …, 2018 - ieeexplore.ieee.org
This paper discusses rigid body formation control for multi-agent systems in 3D spaces and
proposes a formation control law to achieve attitude formation and pose formation for …

Attitude synchronization control for multi-agent systems on unit quaternions

P van Goor, Z Sun, CB Yu - 2017 11th Asian Control …, 2017 - ieeexplore.ieee.org
This paper discusses an attitude synchronization problem for multi-agent systems in 3-D
spaces and proposes a synchronization control law based on the quaternion representation …