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

Authors

DOI:

https://doi.org/10.14232/actacyb.285177

Keywords:

interval analysis, confidence level, potential cloud, reachability for ODEs

Abstract

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.

Downloads

Downloads

Published

2021-02-03

How to Cite

Alexandre dit Sandretto, J. (2021). Confidence-based Contractor, Propagation and Potential Clouds for Differential Equations. Acta Cybernetica, 25(1), 49–68. https://doi.org/10.14232/actacyb.285177