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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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Book
Introduction to Interval Computation
TL;DR: In this paper, the authors present an ALGOLGOL-based approach for the inclusion of complex Zeros of polynomials of a function of one real variable in a system of linear systems of equations.
Journal ArticleDOI
Survey of sampling-based methods for uncertainty and sensitivity analysis
TL;DR: Sampling-based methods for uncertainty and sensitivity analysis are reviewed and special attention is given to the determination of sensitivity analysis results.
Book
Digital arithmetic
Milo D. Ercegovac,Toms Lang +1 more
TL;DR: Digital Arithmetic, two of the field's leading experts, deliver a unified treatment of digital arithmetic, tying underlying theory to design practice in a technology-independent manner, to develop sound solutions, avoid known mistakes, and repeat successful design decisions.
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On Identifiability of Nonlinear ODE Models and Applications in Viral Dynamics
TL;DR: This article reviews identifiability analysis methodologies for nonlinear ODE models developed in the past one to two decades, including structural identifiable analysis, practical identIFiability analysis and sensitivity-based identifability analysis.
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Complete search in continuous global optimization and constraint satisfaction
TL;DR: This survey covers the state of the art of techniques for solving general-purpose constrained global optimization problems and continuous constraint satisfaction problems, with emphasis on complete techniques that provably find all solutions (if there are finitely many).
References
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Proceedings ArticleDOI
The 40 “generic” positions of a parallel robot
TL;DR: This paper considers the direct kinematic problem of a parallel robot (called the Stewart platform or left hand) and shows how the use of formal tools help to guess the solution of this problem and then to establish it.
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Newton—constraint programming over nonlinear constraints
TL;DR: Newton is introduced, a constraint programming language over nonlinear real constraints, which approximates arc-consistency, a notion well-known in artificial intelligence, and achieves an effective pruning at a reasonable computation cost and generalizes some traditional interval operators.
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Guaranteed characterization of stability domains via set inversion
Eric Walter,Luc Jaulin +1 more
TL;DR: A new method is presented for characterizing the set of all values of the parameters of a linear time-invariant model that are associated with a stable behavior and readily extends to the design of controllers stabilizing all models in a given class.
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Robust stabilizability for linear systems with both parameter variation and unstructured uncertainty
K. Wei,Rama K. Yedavalli +1 more
TL;DR: In this article, the authors considered the problem of finding a single compensator which stabilizes a plant having both parameter variation and high-frequency unstructured uncertainty, and proposed closed-loop stability criteria are then proposed for the model.
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Method of robust stability analysis with highly structured uncertainties
TL;DR: In this paper, the stability of linear time-invariant interconnected systems with uncertainties was analyzed using a finite Dumber of calculations. But it was shown that the convex closure of the image of the Cartesian product of these polygons under the mapping φ = \det [I + FH] is not consistent with convex closures of the vertices of these polygonal vertices under φ. A sufficient stability condition was obtained by applying this result to the multivariable Nyquist stability criterion.