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- W3024761775 abstract "We model an artificial root which grows in the soil for underground prospecting. Its evolution is described by a controlled system of two integro-partial differential equations: one for the growth of the body and the other for the elongation of the tip. At any given time, the angular velocity of the root is obtained by solving a minimization problem with state constraints. We prove the existence of solutions to the evolution problem, up to the first time where a “breakdown configuration” is reached. Some numerical simulations are performed to test the effectiveness of our feedback control algorithm." @default.
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- W3024761775 date "2022-08-01" @default.
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- W3024761775 title "Soil Searching by an Artificial Root" @default.
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- W3024761775 doi "https://doi.org/10.1137/20m1338678" @default.
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