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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

Interval Approach for Evolving Granular System Modeling

TL;DR: This work considers interval granular objects to accommodate essential information from data streams and simplify complex real-world problems by recursively adapts both parameters and structure of rule-based models.
Journal ArticleDOI

A Hybrid Approach for Efficient Robust Design of Dynamic Systems

TL;DR: A novel approach for the parametrically robust design of dynamic systems with parameters that are uncertain in the sense that values for these parameters are not known precisely, but only within certain bounds that is guaranteed to find an optimal steady state that is stable for each parameter combination within these bounds.

Validated Solution of Initial Value Problems for ODEs with Interval Parameters

TL;DR: In this article, a method for obtaining validated solutions of initial value problems for ODEs with interval-valued parameters is presented, and the method is demonstrated using numerical examples involving kinetics in a bioreactor and motion of a double pendulum.
Proceedings ArticleDOI

An algorithm for finding maximal whitespace rectangles at arbitrary orientations for document layout analysis

T.M. Breuel
TL;DR: An algorithm is presented that finds globally maximal whitespace rectangles on page images at arbitrary orientations and eliminates the need for page rotation correction prior to background analysis and can be applied to considerably more complex page layouts than previously possible.
Journal ArticleDOI

A set-theoretic framework to assess the impact of variable generation on the power flow

TL;DR: In this article, the authors propose a method to assess whether power system static state variables, i.e., bus voltage magnitudes and angles, remain within acceptable ranges (with some confidence level), as dictated by system operational requirements, while the system is subject to variations in electricity generation arising from the uncertain nature of renewable resources.
References
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The design and analysis of spatial data structures

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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.