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Interval analysis

Polynomial Precise Interval Analysis Revisited

Polynomial Precise Interval Analysis Revisited

... Introduction Interval analysis tries to derive tight bounds for the run-time values of variables ...interpretation, interval analysis has been considered as an algorithmic ...

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Global optimization of pipe networks by the interval analysis approach: the Belgium network case

Global optimization of pipe networks by the interval analysis approach: the Belgium network case

... of interval analysis with constraint ...of interval analysis and constraint propagation in order to solve gas network optimization ...the interval analysis approach, which in ...

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Determining the Maximal Singularity-free Circle or Sphere of Parallel Mechanisms Using Interval Analysis

Determining the Maximal Singularity-free Circle or Sphere of Parallel Mechanisms Using Interval Analysis

... of interval analysis is based on bi- secting a box (or a hyper-box in higher dimensional space), called branch & prune approach [35], upon considering some well-defined algebra on intervals, in such a ...

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Guaranteed manipulator precision via interval analysis of inverse kinematics.

Guaranteed manipulator precision via interval analysis of inverse kinematics.

... using interval analysis not only provides the range of joint space variables for a desired end-effector position but also allows calculation of the maximum allowable uncertainty in the joint sensor ...

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Interval Analysis: A New Tool for the Characterization of an Epoxy-Amine/Aluminum System

Interval Analysis: A New Tool for the Characterization of an Epoxy-Amine/Aluminum System

... 11. Williams, J.G. The beta relaxation in epoxy resin-based networks. J. Appl. Polym. Sci. 1979, 23, 3433–3444. 12. Couderc, H.; Frechette, M.; David, E.; Savoie, S. Study of dielectric relaxation of epoxy composites ...

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Interval analysis on non-linear monotonic systems as an efficient tool to optimise fresh food packaging

Interval analysis on non-linear monotonic systems as an efficient tool to optimise fresh food packaging

... probabilistic analysis, interval analysis can therefore be seen as a conservative analysis, in the sense that it does not make any additional hypoth- esis with regard to the available ...

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Collision-free workspace of parallel mechanisms based on an interval analysis approach

Collision-free workspace of parallel mechanisms based on an interval analysis approach

... one interval with the obstacle were ...using interval analysis and opens an avenue to extend it to more complex parallel ...of interval analysis, although it is very reliable, it is a ...

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Construction of parametric barrier functions for dynamical systems using interval analysis

Construction of parametric barrier functions for dynamical systems using interval analysis

... Coming from the community interested in hybrid systems, a set of methods has been defined to compute invariants for various classes of systems, for example for linear or affine systems [39] or for polynomial systems [18, ...

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Kinematics and statics of cable-driven parallel robots by interval-analysis-based methods

Kinematics and statics of cable-driven parallel robots by interval-analysis-based methods

... the analysis problems, ...uncertainties, interval analysis can be helpful during the design stage, also called synthesis, of a ...the interval-analysis based approach it is possible to ...

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Identication of fuzzy function via interval analysis

Identication of fuzzy function via interval analysis

... The contribution of this article is three-fold: first, it is shown that interval analysis can be directly applied to perform fuzzy interval analysis, yielding closed form ex- pressions of the ...

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A Comparative Study between Two Three-DOF Parallel Kinematic Machines using Kinetostatic Criteria and Interval Analysis

A Comparative Study between Two Three-DOF Parallel Kinematic Machines using Kinetostatic Criteria and Interval Analysis

... The aim of the following section is to define the edge length of the largest cube enclosed in the dextrous workspace of the Orthoglide and the edge length of the largest square enclosed in the dextrous workspace of the ...

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Interval Analysis, Constraint Propagation and Applications

Interval Analysis, Constraint Propagation and Applications

... in interval analysis and constraint ...optimization, interval disjunction for continuous shaving based reduction and for search, continuous MaxCSP, reduction methods for robotics, and hybrid ...via ...

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Interval Analysis: A New Tool for the Characterization of an Epoxy-Amine/Aluminum System

Interval Analysis: A New Tool for the Characterization of an Epoxy-Amine/Aluminum System

... 11. Williams, J.G. The beta relaxation in epoxy resin-based networks. J. Appl. Polym. Sci. 1979, 23 , 3433–3444. 12. Couderc, H.; Frechette, M.; David, E.; Savoie, S. Study of dielectric relaxation of epoxy composites ...

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Dielectric spectra analysis: reliable parameter estimation using interval analysis

Dielectric spectra analysis: reliable parameter estimation using interval analysis

... To cite this version : Brochier, Adrien and Aufray, Maëlenn and Possart, Wulff. Dielectric spectra analysis: reliable parameter estimation using interval analysis. (2010) In: Materials with complex ...

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Loop detection of mobile robots using interval analysis

Loop detection of mobile robots using interval analysis

... ⇒ ∃! t ∈ [ t] ∩ T ∗ . (9) 5. Algorithm The algorithm to be proposed to characterize the set T ∗ is a branch and bound algorithm similar to SIVIA (Set Inverter Via Interval Analysis) ( Jaulin, Kieffer, ...

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Interval analysis and convex optimization to solve a robust constraint feasibility problem

Interval analysis and convex optimization to solve a robust constraint feasibility problem

... Cet article propose un algorithme qui combine l’analyse par intervalles et l’op- timisation convexe pour résoudre le problème de faisabilité robuste d’une contrainte convexe (RCCF) dans [r] ...

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Verification and Reachability Analysis of Fractional-Order Differential Equations Using Interval Analysis

Verification and Reachability Analysis of Fractional-Order Differential Equations Using Interval Analysis

... to interval parameters by symmetric bounds of 1% radius of the respective nominal quantity and A C,3,3 to 10%, ...the interval midpoint corresponds to the transformation matrix T according to ...

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Guaranteed fuzzy function approximation using interval analysis

Guaranteed fuzzy function approximation using interval analysis

... ̈́Òl˛ːĄÔVœƦÐÈPǁÄlÄlÅYœΨƹÄ;Ø»ÄlΨϓċû׋ÆVœÒBÆVÒBÄlÅ»û]Ʀÿ•Ç´Ï»ü/û׌ÛĄ®ːçÈXÃÄlœػÆHÎP̈́ؓÎP̈́ÐUÆVמÆQËtÒlÄlÆLÆV̈́ÉtÒBːÐUӁÆVːÄØYĄÆVœûƹӁÍlËtÓϓ̟ÉtƹÈPØ»ÃΨÄlċœ×[r] ...

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Sensitivity Analysis of Parallel Manipulators Using an Interval Linearization Method

Sensitivity Analysis of Parallel Manipulators Using an Interval Linearization Method

... contrary, interval analysis based approaches provide verified re- sults while being simpler than their ...based interval analysis method combined with a bisection algorithm in order to analyze ...

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Uncertainty handling in quantitative BDD-based fault-tree analysis by interval computation

Uncertainty handling in quantitative BDD-based fault-tree analysis by interval computation

... smallest interval [P (F ), P (F )] for the proba- bility P (F ) of a formula, knowing the intervals of its ...of interval analysis in probabilistic BDDs, since terms of the form 1−P (A) and P (A) ...

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