Title of article
Semicontinuous Solutions of Hamilton Jacobi Bellman Equations with Degenerate State Constraints
Author/Authors
Jean-Pierre Aubin and H´el`ene Frankowska، نويسنده , , S?awomir Plaskacz1، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2000
Pages
21
From page
818
To page
838
Abstract
In this paper, the value function of a Bolza optimal control problem with state
constraints is characterized as the unique lower semicontinuous solution of a
Hamilton Jacobi equation. The state constraints are given by an arbitrary closed
set with possibly empty interior. In particular, Soner’s inward pointing condition is
extended here to the case of degenerate state constraints
Keywords
viability theory , lower semicontinuous solutions , Hamilton Jacobi Bellman equations , optimal control under state constraints
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2000
Journal title
Journal of Mathematical Analysis and Applications
Record number
932318
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