Preprint of the project:
99-102 Alexander Vladimirov, Ludwig Elsner, Wolf-Jürgen Beyn.
Stability and Paracontractivity of Discrete Linear Inclusions
We study stability properties of a
finite set S of nxn-matrices such as paracontractivity, BV- and
LCP-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 S.
