Author: Anton Schiela

Publisher:

Published: 2008

Total Pages: 28

ISBN-13:

Abstract: "We consider first order optimality conditions for state constrained optimal control problems. In particular we study the case where the state equation has not enough regularity to admit existence of a Slater point in function space. We overcome this difficulty by a special transformation. Under a density condition we show existence of Lagrange multipliers, which have a representation via measures and additional regularity properties."