Coordination and geometric optimization via distributed dynamical systems

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dc.creatorCortes, Jorge
dc.creatorBullo, Francesco
dc.date2003-05-29
dc.date.accessioned2026-07-07T04:58:23Z
dc.date.available2026-07-07T04:58:23Z
dc.descriptionThis paper discusses dynamical systems for disk-covering and sphere-packing problems. We present facility location functions from geometric optimization and characterize their differentiable properties. We design and analyze a collection of distributed control laws that are related to nonsmooth gradient systems. The resulting dynamical systems promise to be of use in coordination problems for networked robots; in this setting the distributed control laws correspond to local interactions between the robots. The technical approach relies on concepts from computational geometry, nonsmooth analysis, and the dynamical system approach to algorithms.
dc.description31 pages, 8 figures, includes index of symbols. More information on http://motion.csl.uiuc.edu
dc.identifierhttps://arxiv.org/abs/math/0305433
dc.identifierhttp://arxiv.org/abs/math/0305433
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67620
dc.subjectOptimization and Control
dc.subjectDynamical Systems
dc.subject37N35; 68W15; 93D20; 49J52; 05B40
dc.titleCoordination and geometric optimization via distributed dynamical systems
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