Adjoint representation of a Lie algebra

manif: A micro Lie theory library for state estimation in robotics applications

Jérémie Deray, Joan Solà

引用数: 238 • 2020

A micro Lie theory for state estimation in robotics

Joan Solà, Jérémie Deray, Dinesh Atchuthan

引用数: 158 • 2018

A Lie group formulation of the dynamics of cooperating robot systems

Scott Ploen, Frank C. Park

引用数: 24 • 1997

Left-invariant optimal control problems on Lie groups: classification and problems integrable by elementary functions

Yu. L. Sachkov

引用数: 23 • 2022

The Integrability of Lie-invariant Geometric Objects Generated by Ideals in the Grassmann Algebra

引用数: 9 • 1996

Left-invariant optimal control problems on Lie groups that are integrable by elliptic functions

Yurii Leonidovich Sachkov

引用数: 3 • 2023

Constrained Trajectory Optimization on Matrix Lie Groups via Lie-Algebraic Differential Dynamic Programming

Gökhan Alcan, Fares J. Abu‐Dakka, Ville Kyrki

引用数: 3 • 2023

Statistics on Lie groups: A need to go beyond the pseudo-Riemannian framework

Nina Miolane, Xavier Pennec

引用数: 2 • 2015

Geometric PID controller for stabilization of nonholonomic mechanical systems on Lie groups

Rama Seshan Chandrasekaran, Ravi N. Banavar, Arun D. Mahindrakar, D. H. S. Maithripala

引用数: 2 • 2024

Intrinsic Formulation of Dynamics of Curvilinear Systems

Jean Lerbet

引用数: 1 • 2005

Constrained Trajectory Optimization on Matrix Lie Groups via Lie-Algebraic Differential Dynamic Programming

Gökhan Alcan, Fares J. Abu‐Dakka, Ville Kyrki

引用数: 1 • 2025