In this talk the problem of determining the stability of a non-autonomous
discrete linear system is considered.

The adopted point of view is that of a worst case analysis, which leads to
conditions of uniform stability for the considered system.

The key point is that of extending the spectral radius from a single
matrix to a set of matrices. Such a measure is called the joint spectral
radius of the set.

First we discuss such a generalization and recall the main results from
the literature. Then then we pass to consider the problem of the
computation of the joint spectral radius and describe a possible strategy.

The behaviour of the algorithm will be illustrated by some examples.