Interval arithmetic

Applied Interval Analysis With Examples in Parameter and State Estimation, Robust Control and Robotics

Luc Jaulin, Michel Kieffer, Olivier Didrit, Éric Walter

Citations: 754 • 1993

Solving the Forward Kinematics of a Gough-Type Parallel Manipulator with Interval Analysis

Jean‐Pierre Merlet

Citations: 331 • 2004

Multi-criteria optimal design of parallel manipulators based on interval analysis

Fangli Hao, Jean‐Pierre Merlet

Citations: 185 • 2004

Subdivision methods for solving polynomial equations

Bernard Mourrain, Jean-Pascal Pavone

Citations: 158 • 2008

Motivations for an Arbitrary Precision Interval Arithmetic and the MPFI Library

Nathalie Revol, Fabrice Rouillier

Citations: 129 • 2005

Static analysis for probabilistic programs

Sriram Sankaranarayanan, Aleksandar Chakarov, Sumit Gulwani

Citations: 122 • 2013

Robust set-membership state estimation; application to underwater robotics

Luc Jaulin

Citations: 110 • 2008

A Nonlinear Set Membership Approach for the Localization and Map Building of Underwater Robots

Luc Jaulin

Citations: 92 • 2009

Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters

Zhe Wang, Qiang Tian, Haiyan Hu

Citations: 91 • 2015

Solving the direct geometrico-static problem of underconstrained cable-driven parallel robots by interval analysis

Alessandro Berti, Jean‐Pierre Merlet, Marco Carricato

Citations: 87 • 2015

A Multifactorial Evolutionary Algorithm for Multitasking Under Interval Uncertainties

Jun Yi, Junren Bai, Haibo He, Wei Zhou, Lizhong Yao

Citations: 78 • 2020

Interval method for calibration of parallel robots: Vision-based experiments

David Daney, Nicolas Andreff, Gilles Chabert, Yves Papegay

Citations: 71 • 2006

Interval methods for fault-tree analysis in robotics

Carlos Carreras, Ian D. Walker

Citations: 68 • 2001

Theories of Interval Arithmetic: Mathematical Foundations and Applications

Hend Dawood

Citations: 65 • 2011

An Interval Approach for Stability Analysis: Application to Sailboat Robotics

Luc Jaulin, Fabrice Le Bars

Citations: 60 • 2012

A Radical Approach to Computation with Real Numbers

John L. Gustafson

Citations: 57 • 2016

Sensitivity analysis of parallel manipulators using an interval linearization method

Mikhael Tannous, Stéphane Caro, Alexandre Goldsztejn

Citations: 57 • 2013

Efficient and Safe Global Constraints for Handling Numerical Constraint Systems

Yahia Lebbah, Claude Michel, Michel Rueher, David Daney, Jean‐Pierre Merlet

Citations: 56 • 2005

Interval Analysis for Certified Numerical Solution of Problems in Robotics

Jean‐Pierre Merlet

Citations: 55 • 2009

Inverse Kinematic Solution of Robot Manipulators Using Interval Analysis

Ruiqi Rao, Asai Asaithambi, Sunil K. Agrawal

Citations: 51 • 1998