Algebraic number

On the “piano movers” problem. II. General techniques for computing topological properties of real algebraic manifolds

Jacob T. Schwartz, Micha Sharir

Citations: 807 • 1983

Some algebraic and geometric computations in PSPACE

John Canny

Citations: 581 • 1988

Exponential stabilization of driftless nonlinear control systems using homogeneous feedback

Robert T. M’Closkey, Richard M. Murray

Citations: 416 • 1997

A Lie Group Formulation of Robot Dynamics

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

Citations: 346 • 1995

Exact robot navigation by means of potential functions: Some topological considerations

Daniel E. Koditschek

Citations: 345 • 2005

Revisiting trilateration for robot localization

Federico Thomas, Lluís Ros

Citations: 339 • 2005

A Study of the Jacobian Matrix of Serial Manipulators

Kenneth J. Waldron, Shih-Liang Wang, S. J. Bolin

Citations: 150 • 1985

Stabilization of Constrained Mechanical Systems with DAEs and Invariant Manifolds

Uri M. Ascher, Hongsheng Chin, Linda Petzold, Sebastian Reich

Citations: 143 • 1995

Solvability of General Differential Algebraic Equations

Stephen L. Campbell, E. Griepentrog

Citations: 138 • 1995

Approximating the Stance Map of a 2-DOF Monoped Runner

W. J. Schwind, D. E. Koditschek

Citations: 130 • 2000

Tracking in nonlinear differential-algebraic control systems with applications to constrained robot systems

Hariharan Krishnan, N. Harris McClamroch

Citations: 106 • 1994

A new algebraic method for robot motion planning and real geometry

John Canny

Citations: 100 • 1987

Detectability and Output Feedback Stabilizability of Nonlinear Networked Control Systems

Andrey V. Savkin, Teddy M. Cheng

Citations: 97 • 2007

Kinematic Analysis of Parallel Manipulators by Algebraic Screw Theory

Jaime Gallardo-Alvarado

Citations: 94 • 2016

A way of relating instantaneous and finite screws based on the screw triangle product

Tao Sun, Shuofei Yang, Tian Huang, Jian S. Dai

Citations: 92 • 2016

Stability Analysis of Legged Locomotion Models by Symmetry-Factored Return Maps

Richard Altendorfer, Daniel E. Koditschek, Philip Holmes

Citations: 91 • 2004

Old Wine in New Bottles: A New Algebraic Framework for Computational Geometry

David Hestenes

Citations: 85 • 2001

A Family of Novel Orientational 3-DOF Parallel Robots

Mourad Karouia, Jacques M. Hervé

Citations: 79 • 2002

Singularity analysis of a class of parallel robots based on Grassmann–Cayley algebra

Patricia Ben-Horin, Moshe Shoham

Citations: 72 • 2006

Optimal Control and Optimal Time Location Problems of Differential-Algebraic Systems by Differential Evolution

Feng‐Sheng Wang, Ji-Pyng Chiou

Citations: 72 • 1997