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In this paper, we consider the feedback stabilization of linear systems in a Hilbert state space. The paper proposes a class of nonlinear controls that guarantee exponential stability for linear systems. Applications to stabilization with saturating controls are provided. Also the robustness of constrained stabilizing controls is analyzed. Mathematics Subject Classification: 93D15, 93D21doi:10.14232/ejqtde.2013.1.35 fatcat:46fowrizwfe3dpqiiqh5faiuyu