Pure mathematics

Structural properties and classification of kinematic and dynamic models of wheeled mobile robots

G. Campion, Georges Bastin, Brigitte d’Andréa-Novel

Citations: 1162 • 1996

Nonholonomic Mechanics and Control

AM Bloch, Bernard Brogliato

Citations: 1123 • 2004

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

Jacob T. Schwartz, Micha Sharir

Citations: 807 • 1983

The Invariant Extended Kalman Filter as a Stable Observer

Axel Barrau, Silvère Bonnabel

Citations: 588 • 2016

Some algebraic and geometric computations in PSPACE

John Canny

Citations: 581 • 1988

Robot navigation functions on manifolds with boundary

Daniel E. Koditschek, Elon Rimon

Citations: 565 • 1990

Robot sensor calibration: solving AX=XB on the Euclidean group

F.C. Park, B.J. Martin

Citations: 551 • 1994

LEDA: A platform for combinatorial and geometric computing

Citations: 489 • 2000

On the Parametrization of the Three-Dimensional Rotation Group

John Stuelpnagel

Citations: 479 • 1964

Path planning using Laplace's equation

Christopher I. Connolly, J. Brian Burns, Richard Weiss

Citations: 478 • 2002

Stable adaptive observers for nonlinear time-varying systems

Georges Bastin, M. Gevers

Citations: 477 • 1988

APPLICATION OF THEOREM PROVING TO PROBLEM SOLVING**This research is a part of Project Defender and was supported by the Advanced Research Projects Agency of the Department of Defense and was monitored by Rome Air Development Center under Contracts AF 30(602)-4147 and F30602-69-C-0056.††This preprint is a preliminary version and is subject to modification prior to publication.

Cordell Green

Citations: 463 • 1981

Coordination and Geometric Optimization via Distributed Dynamical Systems

Jorge Cortés, Francesco Bullo

Citations: 450 • 2005

The Lie group of rigid body displacements, a fundamental tool for mechanism design

JM Hervé

Citations: 425 • 1999

Discontinuous Dynamical Systems: A tutorial on solutions, nonsmooth analysis, and stability

Jorge Cortés

Citations: 401 • 2009

Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses

Arthur Albert

Citations: 395 • 1969

Geometric Algebra for Computer Science: An Object-Oriented Approach to Geometry

Leo Dorst, Daniel Fontijne, Stephen Mann

Citations: 390 • 2007

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

Francesco Bullo, Andrew D. Lewis

Citations: 383 • 2005

Topological Complexity of Motion Planning

Michael Färber

Citations: 380 • 2003

Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable

Rida T. Farouki

Citations: 364 • 2008