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Resumen de Alexandroff Topologies Viewed as Closed Sets in the Cantor Cube

Jesús A. Pascal, Cecilia Galindez

  • A one-dimensional in¯nite horizon deterministic singular optimal control problem with controls taking values in a closed cone in R leads to a dynamic programming equation of the form: max _F1(x; v; v0); F2(x; v; v0) = 0; 8x 2 R; which is called the Hamilton Jacobi Bellman(HJB) equation that the value function must satisfy. In this paper we ¯nd explicitly the value function for an in¯nite horizon deterministic optimal control problem.

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