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

Rok, strany: 2002, 109 - 126

This paper deals with a control problem governed by a semilinear state equation dependent on a small parameter $ε \in \Bbb R$, $ε > 0$, with a constrained control variable $u(t) \in C$, where $C \subset U$ is a closed, convex and bounded set containing the origin. It is proved that for a small $ε$ the associated Hamilton-Jacobi equation has a unique strict solution; consequently, the control problem can be solved by employing a dynamic programming method.

ISO 690:

Bilić, N. 2002. Results for an optimal control problem with a semilinear state equation with constrained control. In Mathematica Slovaca, vol. 52, no.1, pp. 109-126. 0139-9918.

APA:

Bilić, N. (2002). Results for an optimal control problem with a semilinear state equation with constrained control. Mathematica Slovaca, 52(1), 109-126. 0139-9918.