Lie algebra

The Lie group of rigid body displacements, a fundamental tool for mechanism design

JM Hervé

Citations: 425 • 1999

Geometric control of mechanical systems : modeling, analysis, and design for simple mechanical control systems

Francesco Bullo, Andrew D. Lewis

Citations: 383 • 2005

Controllability of spacecraft systems in a central gravitational field

Kuang‐Yow Lian, Li‐Sheng Wang, Li‐Chen Fu

Citations: 75 • 1994

Lie algebra application to mobile robot control: a tutorial

Paulo Coelho, Urbano Nunes

Citations: 73 • 2003

Application of Lie Algebras to Visual Servoing

Tom Drummond, Roberto Cipolla

Citations: 66 • 2000

Coordinate-invariant algorithms for robot dynamics

Scott Ploen, F.C. Park

Citations: 55 • 1999

Visual tracking and control using Lie algebras

Tom Drummond, Roberto Cipolla

Citations: 52 • 1999

Lie Groups and Lie Algebras in Robotics

J. M. Selig

Citations: 50 • 2006

Rigid Body Mechanics: Mathematics, Physics and Applications

William B. Heard

Citations: 37 • 2005

Trident snake robot: Locomotion analysis and control

Masato Ishikawa

Citations: 34 • 2004

Large rotations revisited application of Lie algebra

John Argyris, Victor Florin Poterasu

Citations: 31 • 1993

A Lie group formulation of the dynamics of cooperating robot systems

Scott Ploen, Frank C. Park

Citations: 24 • 1997

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

Yu. L. Sachkov

Citations: 23 • 2022

Analyzing Controllability of Bilinear Systems on Symmetric Groups: Mapping Lie Brackets to Permutations

Wei Zhang, Jr-Shin Li

Citations: 20 • 2019

Stable controller design for T–S fuzzy systems based on Lie algebras

Stephen P. Banks, Evren Gürkan-Çavusoglu, İsmet Erkmen

Citations: 18 • 2005

Generalized Kinematics Analysis of Hybrid Mechanisms Based on Screw Theory and Lie Groups Lie Algebras

Peng Sun, Yanbiao Li, Ke Chen, Wentao Zhu, Qi Zhong, Bo Chen

Citations: 18 • 2021

Tremor Estimation and Removal in Robot-Assisted Surgery Using Lie Groups and EKF

Rohit Rana, Prerna Gaur, Vijyant Agarwal, Harish Parthasarathy

Citations: 17 • 2019

Joint Localization Based on Split Covariance Intersection on the Lie Group

Liang Li, Ming Yang

Citations: 17 • 2021

Geometry of the motion of robot manipulators

Adolf Karger

Citations: 16 • 1988

An exploration of orientation representation by Lie algebra for robotic applications

Yan Gu

Citations: 16 • 1990