Geodesic
Spatially-distributed coverage optimization and control with limited-range interactions
ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 4, pp. 691-719

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This paper presents coordination algorithms for groups of mobile agents performing deployment and coverage tasks. As an important modeling constraint, we assume that each mobile agent has a limited sensing or communication radius. Based on the geometry of Voronoi partitions and proximity graphs, we analyze a class of aggregate objective functions and propose coverage algorithms in continuous and discrete time. These algorithms have convergence guarantees and are spatially distributed with respect to appropriate proximity graphs. Numerical simulations illustrate the results.

DOI : 10.1051/cocv:2005024
Classification : 37N35, 49J52, 68W15, 93D20
Keywords: distributed dynamical systems, coordination and cooperative control, geometric optimization, nonsmooth analysis, Voronoi partitions 
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     author = {Cort\'es, Jorge and Mart{\'\i}nez, Sonia and Bullo, Francesco},
     title = {Spatially-distributed coverage optimization and control with limited-range interactions},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {691--719},
     publisher = {EDP-Sciences},
     volume = {11},
     number = {4},
     year = {2005},
     doi = {10.1051/cocv:2005024},
     mrnumber = {2167880},
     zbl = {1080.90070},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2005024/}
}
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Cortés, Jorge; Martínez, Sonia; Bullo, Francesco. Spatially-distributed coverage optimization and control with limited-range interactions. ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 4, pp. 691-719. doi: 10.1051/cocv:2005024

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