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- W2787083463 abstract "We revisit the static coverage control problem for placement of vehicles with simple motion on the real line, under the assumption that the cost is a polynomial function of the locations of the vehicles. The main contribution of this paper is to demonstrate the use of tools from numerical algebraic geometry, in particular, a numerical polynomial homotopy continuation method that guarantees to find all solutions of polynomial equations, in order to characterize the emph{global minima} for the coverage control problem. The results are then compared against a classic distributed approach involving the use of Lloyd descent, which is known to converge only to a local minimum under certain technical conditions." @default.
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- W2787083463 date "2018-01-31" @default.
- W2787083463 modified "2023-09-27" @default.
- W2787083463 title "Optimal Configurations in Coverage Control with Polynomial Costs" @default.
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