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 , p. 691-719
Zbl 1080.90070 | MR 2167880
doi : 10.1051/cocv:2005024
URL stable : http://www.numdam.org/item?id=COCV_2005__11_4_691_0

Classification:  37N35,  49J52,  68W15,  93D20
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.

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