Homogeneous space

Maneuver-based motion planning for nonlinear systems with symmetries

E. Frazz, Munther A. Dahleh, Éric Féron

Citations: 438 • 2005

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

Francesco Bullo, Andrew D. Lewis

Citations: 383 • 2005

Controlled symmetries and passive walking

Mark W. Spong, Francesco Bullo

Citations: 307 • 2005

The mechanics and control of undulatory robotic locomotion

J.P. Ostrowski

Citations: 130 • 1995

Taking advantage of symmetries: Gathering of many asynchronous oblivious robots on a ring

Ralf Klasing, Adrian Kosowski, Alfredo Navarra

Citations: 102 • 2010

Computing reduced equations for robotic systems with constraints and symmetries

J.P. Ostrowski

Citations: 78 • 1999

On mechanical control systems with nonholonomic constraints and symmetries

Francesco Bullo, Miloš Žefran

Citations: 52 • 2002

Symmetry in Running

Marc H. Raibert

Citations: 51 • 1986

Lie Groups and Lie Algebras in Robotics

J. M. Selig

Citations: 50 • 2006

Geometric discretization of nonholonomic systems with symmetries

Marin Kobilarov, Jerrold E. Marsden, Gaurav S. Sukhatme

Citations: 45 • 2009

Taking Advantage of Symmetries: Gathering of Asynchronous Oblivious Robots on a Ring

Ralf Klasing, Adrian Kosowski, Alfredo Navarra

Citations: 39 • 2008

Simple Mechanical Control Systems with Constraints and Symmetry

Jorge Cortés, Sonia Martı́nez, J.P. Ostrowski, H. Zhang

Citations: 39 • 2002

Symmetries and Gaits for Purcell's Three-Link Microswimmer Model

Emiliya Gutman, Yizhar Or

Citations: 37 • 2015

Symmetry in legged locomotion: a new method for designing stable periodic gaits

Hamed Razavi, Anthony M. Bloch, Christine Chevallereau, Jessy W. Grizzle

Citations: 36 • 2016

Hidden symmetries generate rigid folding mechanisms in periodic origami

James McInerney, Bryan Gin–ge Chen, Louis Theran, Christian D. Santangelo, D. Zeb Rocklin

Citations: 32 • 2020

Heuristic 3D object shape completion based on symmetry and scene context

David Schiebener, Andreas Schmidt, Nikolaus Vahrenkamp, Tamim Asfour

Citations: 31 • 2016

Controlling Symmetries and Clustered Dynamics of Complex Networks

Lucia Valentina Gambuzza, Mattia Frasca, Francesco Sorrentino, Louis M. Pecora, Stefano Boccaletti

Citations: 27 • 2020

CONTROLLED SYMMETRIES AND PASSIVE WALKING

Mark W. Spong, Francesco Bullo

Citations: 27 • 2002

Equivariant Filter (EqF): A General Filter Design for Systems on Homogeneous Spaces

Pieter van Goor, Tarek Hamel, Robert Mahony

Citations: 26 • 2020

Equivariant Systems Theory and Observer Design

Robert Mahony, Tarek Hamel, Jochen Trumpf

Citations: 25 • 2020