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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
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Journal ArticleDOI
An interval algorithm for multi-objective optimization
TL;DR: The interval algorithm presented here is guaranteed to capture all solutions, namely all points on the Pareto front, and is a hybrid method consisting of local gradient-based and global direct comparison components.
Journal ArticleDOI
Robust simulation and design using semi-infinite programs with implicit functions
Matthew D. Stuber,Paul I. Barton +1 more
TL;DR: A rigorous, finite e-optimal convergent algorithm for solving semi-infinite SIPs is proposed, making no assumptions on convexity, which makes use of the novel developments of parametric interval-Newton methods for bounding implicit functions, and novel developments in McCormick relaxations of algorithms.
Journal ArticleDOI
Reliable Positioning Domain Computation for Urban Navigation
TL;DR: A way of validating the proposed Interval-based positioning method, using a real experimental dataset and a ground truth equipment, indicates that this methodology is relevant since the specified risk corresponds to experimental observations.
Journal ArticleDOI
Computer arithmetic for probability distribution variables
Weiye Li,James M. Hyman +1 more
TL;DR: The new PDV Arithmetic is described and the effectiveness of the approach to account for the creation and propagation of uncertainties in a computer program due to uncertainties in the initial data is verified.
Journal ArticleDOI
Robust flutter analysis of a nonlinear aeroelastic system with parametric uncertainties
Haiwei Yun,Jinglong Han +1 more
TL;DR: In this paper, the robust stability of a 2D nonlinear aeroelastic system with structural and aerodynamic uncertainties using the μ-method and value set approach is investigated, and the functional relationship between equilibrium point and uncertain parameters are expressed as Taylor series expansions in order to consider the uncertainty of the equilibrium point in μ-analysis framework.
References
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