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Article Dans Une Revue Acta Cybernetica Année : 2021

Confidence-based Contractor, Propagation and Potential Clouds for Differential Equations

Résumé

A novel interval contractor based on the confidence assigned to a random variable is proposed in this paper. It makes possible to consider at the same time an interval in which the quantity is guaranteed to be, and a confidence level to reduce the pessimism induced by interval approach. This contractor consists in computing a confidence region. Using different confidence levels, a particular case of potential cloud can be computed. As application, we propose to compute the reachable set of an ordinary differential equation under the form of a set of confidence regions, with respect to confidence levels on initial value.

Dates et versions

hal-03430389 , version 1 (16-11-2021)

Identifiants

Citer

Julien Alexandre Dit Sandretto. Confidence-based Contractor, Propagation and Potential Clouds for Differential Equations. Acta Cybernetica, 2021, 25 (1), pp.49-68. ⟨10.14232/actacyb.285177⟩. ⟨hal-03430389⟩
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