Parameterized outer estimation of AE-solution sets to parametric interval linear systems

In this work we propose a method that generates an outer estimate of a parametric AE-solution set in form of a linear parametric interval function, called parameterized outer solution (p-solution). Parameterized outer solution is proposed for the parametric united solution set in Kolev (2014) and takes precedence over the classical interval solution enclosure when the latter is part of other problems involving the same parameters. The method we present generalizes the method from Kolev (2016) for parametric AE-solution sets. It is also a parameterized analogue of a method from Popova and Hladík (2013) and produces the same interval enclosure as the method from the last reference.