Cartan connection applied to dynamic calculation in robotics

[1]  J. Landsberg,et al.  Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems, Second Edition , 2016 .

[2]  D. Colón Cartan Connections as a Tool for Kinematic Chain Calculation , 2015 .

[3]  D. Colón Cartan’s Connection, Fiber Bundles and Quaternions in Kinematics and Dynamics Calculations , 2015 .

[4]  José Manoel Balthazar,et al.  Geometric Modeling and Robust Control of a Gyroscopic System , 2015 .

[5]  Edson Roberto De Pieri,et al.  A new approach to singularity-free inverse kinematics using dual-quaternionic error chains in the Davies method , 2014, Robotica.

[6]  Philippe Poignet,et al.  3D Robust Online Motion Planning for Steerable Needles in Dynamic Workspaces Using Duty-Cycled Rotation , 2014 .

[7]  Philippe Poignet,et al.  Robot-assisted automatic insertion of steerable needles with closed-loop imaging feedback and intraoperative trajectory replanning , 2013 .

[8]  J. M. Selig Geometric Fundamentals of Robotics , 2004, Monographs in Computer Science.

[9]  Diego Colón,et al.  Geometry of adaptive control: optimization and geodesics , 2004 .

[10]  S. Chern,et al.  Differential Geometry: Cartan's Generalization of Klein's Erlangen Program , 2000 .

[11]  Richard M. Murray,et al.  A Mathematical Introduction to Robotic Manipulation , 1994 .

[12]  Francis L. Merat,et al.  Introduction to robotics: Mechanics and control , 1987, IEEE J. Robotics Autom..

[13]  D. Sattinger,et al.  Lie Groups and Algebras with Applications to Physics, Geometry and Mechanics , 1986 .

[14]  J. Humphreys Introduction to Lie Algebras and Representation Theory , 1973 .

[15]  A. T. Yang,et al.  Application of Dual-Number Quaternion Algebra to the Analysis of Spatial Mechanisms , 1964 .

[16]  L. Gualberto,et al.  CONNECTIONS BETWEEN SCREW THEORY AND CARTAN’S CONNECTIONS , 2014 .

[17]  Diego Colon,et al.  Discussion on: "Switching Control for a Class of Non-Linear Systems with an Application to Post-Harvest Food Storage" , 2010, Eur. J. Control.

[18]  A. S. Shvart︠s︡ Topology for physicists , 1994 .

[19]  Mark W. Spong,et al.  Robot dynamics and control , 1989 .