In iterative schemes of identification and control one of the particular and important choices to make is the choice for a model uncertainty structure, capturing the uncertainty concerning the estimated plant model. This is typically done in some normbounded form, in order to guarantee robust stability and/or robust performance when redesigning the controller. Structures that are used in the re...

A prefix normal word is a binary whose prefixes contain at least as many 1s any of its factors the same length. Introduced by Fici and Liptak in 2011, notion normality has been, thus far, only defined for words over alphabet. In this work we investigate generalisation finite arbitrary alphabets, namely weighted normality. We prove that more expressive than Furthermore, existence form, since com...