Stability and paracontractivity of discrete linear inclusions Original Research Article

We study stability properties of a finite set Σ of n×n-matrices such as paracontractivity, BV- and left convergent products (LCPs)-stability, and their relations to each other. The conjecture on equivalence of paracontractivity and LCP-stability is proved. Moreover, we prove the equivalence of the uniform BV-stability and the property of vanishing length of steps of any trajectory of Σ.