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• W4205769897 abstract "Hybrid zonotopes have been recently introduced as a mixed-integer set representation that is equivalent to the union of up to <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$2^{mathrm{ N}}$ </tex-math></inline-formula> constrained zonotopes through the use of N binary factors. This letter further develops this new set representation by deriving identities for union and complement set operations of hybrid zonotopes. The addition of these set operations proves the hybrid zonotope’s closure under linear mappings, Minkowski sums, intersections, unions, and complements, thus increasing the usefulness of the set representation to a broad class of set-theoretic controls problems. Beyond set operations, a major contribution of this letter is a demonstration of how linear mixed-integer constraints may be embedded within the hybrid zonotope set definition. A numerical example using hybrid zonotopes as a nonconvex safety constraint in an obstacle avoidance problem is provided." @default.
• W4205769897 created "2022-01-25" @default.
• W4205769897 creator A5027415757 @default.
• W4205769897 creator A5031742564 @default.
• W4205769897 date "2022-01-01" @default.
• W4205769897 modified "2023-09-30" @default.
• W4205769897 title "Unions and Complements of Hybrid Zonotopes" @default.
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• W4205769897 doi "https://doi.org/10.1109/lcsys.2021.3133126" @default.
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