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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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Proceedings ArticleDOI
A State Bounding Observer for Uncertain Non-linear Continuous-time Systems based on Zonotopes
TL;DR: In this paper, the estimated domains are represented by zonotopes, a particular polytope defined as the linear image of a unit interval vector (i.e. unit hypercube).
Journal ArticleDOI
On Taylor Model Based Integration of ODEs
TL;DR: This work analyzes Taylor model based integration of ODEs and compares Taylor model methods with traditional enclosure methods for IVPs for ODE s and finds the latter is an effective tool for reducing both the dependency problem and the wrapping effect.
Journal ArticleDOI
Bounded error identification of systems with time-varying parameters
TL;DR: An algorithm to compute a set that contains the parameters consistent with the measured output and the given bound of the noise is presented, represented by a zonotope, that is, an affine map of a unitary hypercube.
Questioning some paradigms of signal processing via concrete examples
TL;DR: This paper gives an overview of recent on-line and non-asymptotic estimation techniques in signal processing, which do not necessitate any precise statistical knowledge of the noises.
Journal ArticleDOI
Motivations for an arbitrary precision interval arithmetic and the mpfi library
Nathalie Revol,Fabrice Rouillier +1 more
TL;DR: The MPFI library as discussed by the authors is a library for arbitrary precision interval arithmetic, which can be used for robotics, isolation of polynomial real roots, and approximation of real roots with arbitrary accuracy.
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