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- W1968560346 abstract "In this article, a method for finding a tight formation of unmanned air vehicles (UAVs) via the classical sphere packing scheme is introduced. First, the tight formation finding problem is translated to the problem of maximizing the second smallest eigenvalue λ 2 ( G) of the graph Laplacian L G . It is then shown how close the formation G s , obtained from the sphere packing scheme, is to the optimal formation G ∗ that maximizes λ 2 ( G). λ 2 ( G ∗ )/λ 2 ( G s ) is shown to be relatively small (close to 1) when the communication strength between two UAVs decays slowly with the distance between the two UAVs. This result is also useful in that G s can serve as a certificate that allows every graph to be quantitatively compared to G ∗ . In the light of this tight formation result, a modelling technique is given for the optimal airborne refuelling of multiple UAVs." @default.
- W1968560346 created "2016-06-24" @default.
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- W1968560346 date "2009-07-30" @default.
- W1968560346 modified "2023-09-26" @default.
- W1968560346 title "How tight is sphere-packed formation flying?" @default.
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- W1968560346 doi "https://doi.org/10.1243/09544100jaero577" @default.
- W1968560346 hasPublicationYear "2009" @default.
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