Symplectic geometry

Discrete mechanics and optimal control: An analysis

Sina Ober‐Blöbaum, Oliver Junge, Jerrold E. Marsden

引用数: 185 • 2010

A Symplectic Instantaneous Optimal Control for Robot Trajectory Tracking With Differential-Algebraic Equation Models

Haijun Peng, Fei Li, Jinguo Liu, Zhaojie Ju

引用数: 127 • 2019

Higher topological complexity and its symmetrization

引用数: 41 • 2014

Rigid Body Mechanics: Mathematics, Physics and Applications

William B. Heard

引用数: 37 • 2005

Group theoretical approach in using canonical transformations and symplectic geometry in the control of approximately modelled mechanical systems interacting with an unmodelled environment

József K. Tar, Imre J. Rudas, J.F. Bitó

引用数: 30 • 1997

Planning rigid body motions using elastic curves

James Biggs, William Holderbaum

引用数: 16 • 2008

Geometry, topology, and mathematical physics : S.P. Novikov's seminar: 2002-2003

Victor Matveevich Buchstaber, I. M. Krichever

引用数: 15 • 2004

A nonsmooth modified symplectic integration scheme for frictional contact dynamics of rigid–flexible multibody systems

Jiahui Luo, Xiaoming Xu, Xiaodong Liu, Zhigang Wu

引用数: 12 • 2024

Symplectic stiffness method for the buckling analysis of hierarchical and chiral cellular honeycomb structures

Mingzhu Jin, Xiuhui Hou, Wenhao Zhao, Zichen Deng

引用数: 11 • 2023

Particle swarm optimization-based algorithm of a symplectic method for robotic dynamics and control

Zhaoyue Xu, Lin Du, Haopeng Wang, Zichen Deng

引用数: 9 • 2018

Buckling of regular and auxetic honeycombs under a general macroscopic stress state in symplectic system

Xiuhui Hou, Shiqi Zhou, Zhiwei Cheng, Zhiwei Zhu, Yan Wang, Zichen Deng

引用数: 8 • 2022

Discrete-Time Modeling and Control of an Under-actuated Robotic System

Jorge Rivera, Luis Antonio Ribot García, Susana Ortega Cisneros, Juan J. Raygoza

引用数: 8 • 2010

Variational Methods for Control and Design of Bipedal Robot Models

David Pekarek

引用数: 8 • 2010

A new strict Lyapunov function for fully-actuated mechanical systems controlled by IDA-PBC

José Ángel Acosta, Elena Panteley, Roméo Ortega

引用数: 7 • 2009

Dynamic Modeling and Verification of Continuum Robot Based on Cable Drive

Jie Zhang, Haijun Peng, Wenya Zhou, Jinzhao Yang, Zhigang Wu

引用数: 6 • 2019

Discrete Mechanics and Optimal Control: an Analysis

S. Ober-Bloebaum, Oliver Junge, Jerrold E. Marsden

引用数: 5 • 2008

Symplectic Integration for Multivariate Dynamic Spline-Based Model of Deformable Linear Objects

Alaa Khalifa, Gianluca Palli

引用数: 4 • 2022

Adaptive robot control gained by partial identification using the advantages of symplectic geometry

József K. Tar, Imre J. Rudas, J.F. Bitó, Okyay Kaynak

引用数: 3 • 2002

Symplectic Discrete-Time Control of Flexible-Joint Robots: Experiments with Two Links

Tobias Thoma, Xuwei Wu, Alexander Dietrich, Paul Kotyczka

引用数: 2 • 2021

Symplectic Stiffness Method for the Buckling Analysis of Hierarchical and Chiral Cellular Honeycomb Structures

Mingzhu JIn, Xiuhui Hou, Wenhao Zhao, Zichen Deng

引用数: 2 • 2023