Integrable system

Related papers: 20

Top Cited Papers

A swimming robot with an internal rotor as a nonholonomic system

Phanindra Tallapragada

Citations: 39 • 2015

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

Yu. L. Sachkov

Citations: 23 • 2022

Approximation of Jacobian Inverse Kinematics Algorithms: Differential Geometric vs. Variational Approach

Joanna Karpińska, Krzysztof Tchoń, Mariusz Janiak

Citations: 21 • 2012

Planning rigid body motions using elastic curves

James Biggs, William Holderbaum

Citations: 16 • 2008

Sliding mode control of a class of underactuated system with non-integrable momentum

Mien Van

Citations: 13 • 2020

Analytical approximation for the double-stance phase of a walking robot

Mohammad Shahbazi, Robert Babuška, Gabriel A. D. Lopes

Citations: 10 • 2015

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

Citations: 9 • 1996

Symmetry and reduction in collectives: low-dimensional cyclic pursuit

Kevin S. Galloway, Eric W. Justh, P. S. Krishnaprasad

Citations: 8 • 2016

On Achieving Periodic Joint Motion for Redundant Robots

Y. Michellod, Ph. Müllhaupt, Denis Gillet

Citations: 8 • 2008

Nonintegrability of forced nonlinear oscillators

Shoya Motonaga, Kazuyuki Yagasaki

Citations: 7 • 2023

Integrable Whole-Body Orientation Coordinates for Legged Robots

Yuming Chen, Gabriel M. Nelson, Robert J. Griffin, Michael Posa, Jerry Pratt

Citations: 7 • 2023

A command generator for 6 D-o-F robotic manipulators

S.D. Hill, R.J. Vaccaro

Citations: 7 • 2005

Shaping energetically efficient brachiation motion for a 24-DOF gorilla robot

Stepan Pchelkin, Anton Shiriaev, Uwe Mettin, Leonid B. Freidovich, Tadayoshi Aoyama, Lu Zheng, Toshio Fukuda

Citations: 6 • 2011

Path planning for simple wheeled robots: sub-Riemannian and elastic curves on SE(2)

Craig Maclean, James Biggs

Citations: 6 • 2013

Global tracking-stabilization control of mobile robots with parametric uncertainty

Mohamed Maghenem, Antonio Lorı́a, Elena Panteley

Citations: 6 • 2017

The Hamiltonization of nonholonomic systems and its applications

Oscar E. Fernandez

Citations: 6 • 2009

Analytically-Guided Design of a Tailed Bipedal Hopping Robot

Abdulaziz Shamsah, Avik De, Daniel E. Koditschek

Citations: 5 • 2018

Planning Motions for Robotic Systems Subject to Differential Constraints

Alessandro De Luca, Giuseppe Oriolo, Marilena Vendittelli, S. Iannitti

Citations: 5 • 2004

External Linearization Control for an Omnidirectional Mobile Robot

G. Campion, Georges Bastin, D. Rolin, Benoît Raucent

Citations: 4 • 1988

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

Yurii Leonidovich Sachkov

Citations: 3 • 2023