Robustness of Strong Stability of Discrete Semigroups
arXiv:1406.3946 · doi:10.1016/j.sysconle.2014.11.004
Abstract
In this paper we study the robustness of strong stability of a discrete semigroup on a Hilbert space under bounded finite rank perturbations. As the main result we characterize classes of perturbations preserving the strong stability of the semigroup.
11 pages, 1 figure, submitted