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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.read more
Citations
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Anticipative model predictive control for linear parameter-varying systems
TL;DR: The final author version and the galley proof are versions of the publication after peer review and the final published version features the final layout of the paper including the volume, issue and page numbers.
Book ChapterDOI
Applied Interval Computation: A New Approach for Time-Delays Systems Analysis
TL;DR: This paper describes some applications to solve various control problems, and shows that interval computation is an effective tool for time-delays systems analysis.
Proceedings ArticleDOI
Estimates of reachable sets of impulsive control problems with special nonlinearity
TL;DR: The problem of estimating reachable sets of nonlinear dynamical control systems with quadratic or bilinear nonlinearity and with uncertainty in initial states is studied in this article.
Dissertation
Global optimization in reduced space
TL;DR: It is shown that tighter relaxations can lead to a significant reduction in the number of boxes visited, and it is further shown that branch-and-bound algorithms still possess their convergence properties.
Reliable homotopy continuation
TL;DR: This paper presents algorithms for the certification of single and multiple roots of a zero dimensional system of polynomial equations and presents several ideas for improving the underlying numerical path tracking algorithms.
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
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
Elon Rimon,Daniel E. Koditschek +1 more
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.