Robustness of strong stability of discrete semigroups
Copyright policy )Robustness of strong stability of discrete semigroups
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
- Tampereen teknillinen yliopisto Finland
- TTY-SAATIO Finland
- Tampere University of Technology
- Tampere University Finland
Operator-theoretic methods, Robust stability, Functional Analysis (math.FA), Mathematics - Functional Analysis, strong stability, Perturbations in control/observation systems, bounded perturbations, FOS: Mathematics, robustness of strong stability, discrete semigroup, Control/observation systems in abstract spaces, 47A55, 47D06, 93D20
Operator-theoretic methods, Robust stability, Functional Analysis (math.FA), Mathematics - Functional Analysis, strong stability, Perturbations in control/observation systems, bounded perturbations, FOS: Mathematics, robustness of strong stability, discrete semigroup, Control/observation systems in abstract spaces, 47A55, 47D06, 93D20
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