6533b824fe1ef96bd12812d2

RESEARCH PRODUCT

Solving some optimal control problems using the barrier penalty function method

Andrzej StachurskiPekka Neittaanmäki

subject

State variableMathematical optimizationOptimization problemControl variablePenalty methodBoundary value problemQuadratic programmingOptimal controlFinite element methodMathematics

description

In this paper we present a new approach to solve the two-level optimization problem arising from an approximation by means of the finite element method of optimal control problems governed by unilateral boundary value problems. The minimized functional depends on control variables and state variables x. The latter are the optimal solution of an auxiliary quadratic programming problem, whose parameters depend on u.

https://doi.org/10.1007/bfb0008387