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• W2156918367 abstract "We characterize and compute the maximal admissible positively invariant set for asymptotically stable constrained switching linear systems. Motivated by practical problems found, e.g., in obstacle avoidance, power electronics and nonlinear switching systems, in our setting the constraint set is formed by a finite number of polynomial inequalities. First, we observe that the so-called Veronese lifting allows to represent the constraint set as a polyhedral set. Next, by exploiting the fact that the lifted system dynamics remains linear, we establish a method based on reachability computations to characterize and compute the maximal admissible invariant set, which coincides with the domain of attraction when the system is asymptotically stable. After developing the necessary theoretical background, we propose algorithmic procedures for its exact computation, based on linear or semidefinite programs. The approach is illustrated in several numerical examples." @default.
• W2156918367 created "2016-06-24" @default.
• W2156918367 creator A5056625594 @default.
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• W2156918367 date "2016-04-11" @default.
• W2156918367 modified "2023-09-23" @default.
• W2156918367 title "Computing the Domain of Attraction of Switching Systems Subject to Non-Convex Constraints" @default.
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• W2156918367 doi "https://doi.org/10.1145/2883817.2883823" @default.
• W2156918367 hasPublicationYear "2016" @default.
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