Abdelouahab Kenoufi

Abdelouahab Kenoufi, Nicolas Goze, Michel Goze

In this paper, we present how to use a free algebra based interval arithmetics framework in order to build better defined inclusion function for interval semi-group and for its associated vector space. One introduces the psi-algorithm, which performs set inversion of functions and exhibits some numerical examples developped with the python programming langage.

Abdelouahab Kenoufi, Jean-François Osselin, Bernard Durand

One presents methodology and algorithms to prepare a causal system in order to achieve desired performances if only input-output data are known and when no other informations are available. This can be done with mean of evolutionnary programming and set inversion methods, such as PSI-algorithm or SIvIA.