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Robustness of strong stability of discrete semigroups
Affiliation:1. School of Mathematics, Sichuan University, Chengdu, 610064, China;2. Departamento de Matemáticas, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain;1. Intelligent Fusion Technology, Inc., Germantown, MD, 20876, USA;2. Department of Electrical Engineering and Computer Science, University of Central Florida, Orlando, FL, 32816, USA;3. School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA;1. Department of Mathematics and Statistics, Missouri University of Science & Technology, Rolla, MO, 65401, United States;2. Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, United States;1. Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal;2. School of Mathematics, University of Leeds, Leeds LS2 9JT, UK
Abstract:In this paper we study the robustness of strong stability of a discrete semigroup on a Hilbert space under bounded perturbations. As the main result we present classes of perturbations preserving the strong stability of the semigroup.
Keywords:Discrete semigroup  Strong stability  Robustness
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