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On L∞-Induced stabilization of positive linear systems with distributed delays

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In the paper "On L∞-Induced stabilization of positive linear systems with distributed delays" consider the stabilization problem under L∞-gain scheme for positive linear systems with distributed time delays. Novelty and main contribution of this paper are two points. First, a characterization of L∞-gain is reformulated using novel comparison techniques involving steady states of upper scaled systems with peak values of exogenous disturbances. Second, tractable LP-based conditions to the design problem of a state-feedback controller that minimizes the worst case ampli cation from disturbances to regulated outputs subject to L∞-gain is presented. |