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Applied Interval Analysis

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The article was published on 2001-08-30 and is currently open access. It has received 1709 citations till now. The article focuses on the topics: Interval arithmetic.

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Book ChapterDOI

Constructive Mathematics in St. Petersburg, Russia: A (Somewhat Subjective) View from Within

TL;DR: In the 1970 and 1980s, logic and constructive mathematics were an important part of my life; it's what I defended in my Master's thesis, it was an important portion of my PhD dissertation as mentioned in this paper.
Journal ArticleDOI

State Estimation Using Dependent Evidence Fusion: Application to Acoustic Resonance-Based Liquid Level Measurement

TL;DR: A novel state estimatation method by fusing dependent evidence generated from state equation, observation equation and the actual observations of the system states considering bounded noises is presented and can be iteratively implemented to provide state estimation values calculated from fusion results at every time step.
Proceedings ArticleDOI

Interval methods for the implementation and verification of robust gain scheduling controllers

TL;DR: A novel approach for an interval-based gain scheduling control design aiming at a guaranteed stabilization of the system dynamics over a predefined time horizon and is verified numerically for the control of an inverted pendulum as a prototypical benchmark application.
Proceedings ArticleDOI

Model-Free Interval-Based Localization in Manets

TL;DR: An interval-based rings-overlapping technique using the comparison of the received signal strength indicators that is robust under irregular radio propagation patterns and avoids the estimation of the channel pathloss model.
Book ChapterDOI

An interval approach for weight's initialization of feedforward neural networks

TL;DR: In this paper, a combined parametric updating algorithm is employed to find the pseudo-global minimum of the cost function, assuring good generalization properties to the trained architecture. But the method is limited to the region of convergence (ROC).
References
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An algorithm for planning collision-free paths among polyhedral obstacles

TL;DR: A collision avoidance algorithm for planning a safe path for a polyhedral object moving among known polyhedral objects that transforms the obstacles so that they represent the locus of forbidden positions for an arbitrary reference point on the moving object.
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A Platform with Six Degrees of Freedom

D. Stewart
TL;DR: In this article, the authors describe a six-degree-of-freedom control with six motors, each having a ground abutment, for simulating flight conditions in the training of pilots.
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Exact robot navigation using artificial potential functions

TL;DR: A methodology for exact robot motion planning and control that unifies the purely kinematic path planning problem with the lower level feedback controller design is presented.
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Mobile robot localization by tracking geometric beacons

TL;DR: An algorithm for, model-based localization that relies on the concept of a geometric beacon, a naturally occurring environment feature that can be reliably observed in successive sensor measurements and can be accurately described in terms of a concise geometric parameterization, is developed.