Lower semicontinuous solutions of the Bellman equation for the minimum time problem |
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Authors: | O Carja F Mignanego G Pieri |
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Institution: | (1) Faculty of Mathematics, University of Iasi, Iasi, România;(2) Department of Mathematics, University of Genova, Genova, Italy;(3) IDST, Faculty of Architecture, University of Genova, Genova, Italy |
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Abstract: | The minimum time problem associated with a nonlinear control system is considered, and the unicity of the lower semicontinuous solution of the corresponding Bellman equation is investigated. A main tool in our approach is the Kruzkov transformation that enables us to work on
n
–{0}, where {0} is the target set, instead of the unknown reachable set.This research was carried out while the first author was visiting the Department of Mathematics, University of Genova, Genova, Italy. |
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Keywords: | Minimum time problems Hamilton-Jacobi-Bellman equation lower semicontinuous viscosity solutions |
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