engleski

Results for an optimal control problem with a semilinear state equation with constrained control

This paper deals with a control problem governed by a semilinear state equation dependent on a small parameter, with a constrained control variable in a closed, convex and bounded set containing the origin. It is proved that for a small parameter the associated Hamilton-Jacobi equation has a unique strict solution ; consequently, the control problem can be solved by employing a dynamic programming method.

control problem; semilinear state equation; constrained control; Hamilton-Jacobi equation

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