Geometric mechanics

Lectures on Mechanics

Jerrold E. Marsden

Citations: 525 • 1992

A Lie Group Formulation of Robot Dynamics

F. C. Park, J.E. Bobrow, Scott Ploen

Citations: 346 • 1995

The Geometric Mechanics of Undulatory Robotic Locomotion

Joel W. Burdick

Citations: 335 • 1998

A review on locomotion robophysics: the study of movement at the intersection of robotics, soft matter and dynamical systems

Jeffrey Aguilar, Tingnan Zhang, Feifei Qian, Mark Kingsbury, Benjamin McInroe, Nicole Mazouchova, Chen Li, Ryan D. Maladen, Chaohui Gong, Matt Travers, Ross L. Hatton, Howie Choset, Paul B. Umbanhowar, Daniel I. Goldman

Citations: 284 • 2016

The mechanics and control of undulatory robotic locomotion

J.P. Ostrowski

Citations: 130 • 1995

Geometric Visualization of Self-Propulsion in a Complex Medium

Ross L. Hatton, Yang Ding, Howie Choset, Daniel I. Goldman

Citations: 82 • 2013

Nonlinear Control of Mechanical Systems: A Lagrangian Perspective

Richard M. Murray

Citations: 81 • 1995

Nonlinear control of mechanical systems: A Lagrangian perspective

Richard M. Murray

Citations: 68 • 1997

Macrocontinuous Dynamics for Hyperredundant Robots: Application to Kinematic Locomotion Bioinspired by Elongated Body Animals

Frédéric Boyer, Shaukat Ali, Mathieu Porez

Citations: 55 • 2011

Geometric Algorithms for Robot Dynamics: A Tutorial Review

Frank C. Park, Beobkyoon Kim, Cheongjae Jang, Jisoo Hong

Citations: 55 • 2018

Symmetries in Motion: Geometric Foundations of Motion Control

Jerrold E. Marsden, James Ostrowski

Citations: 52 • 1998

Geometric Perspectives on the Mechanics and Control of Robotic Locomotion

Joel W. Burdick

Citations: 49 • 1996

On the Geometric Reduction of Controlled Three-Dimensional Bipedal Robotic Walkers

Aaron D. Ames, Robert D. Gregg, Eric Wendel, Shankar Sastry

Citations: 45 • 2007

Nonlinear control of mechanical systems : a Riemannian geometry approach

Francesco Bullo

Citations: 41 • 2008

Rigid Body Mechanics: Mathematics, Physics and Applications

William B. Heard

Citations: 37 • 2005

The mechanics and control of robotic locomotion with applications to aquatic vehicles

Scott David Kelly

Citations: 37 • 1998

A Framework for Steering Dynamic Robotic Locomotion Systems

Kenneth McIsaac, J.P. Ostrowski

Citations: 34 • 2003

Geometric Fabrics: Generalizing Classical Mechanics to Capture the Physics of Behavior

Karl Van Wyk, Mandy Xie, Anqi Li, Muhammad Asif Rana, B. N. Babich, Bryan Peele, Qian Wan, Iretiayo Akinola, Balakumar Sundaralingam, Dieter Fox, Byron Boots, Nathan Ratliff

Citations: 29 • 2022

Geometric modeling and local controllability of a spherical mobile robot actuated by an internal pendulum

Sneha Gajbhiye, Ravi N. Banavar

Citations: 28 • 2015

Nonholonomic Geometry, Mechanics and Control

Rui Yang

Citations: 26 • 1992