In this paper we generalize to an arbitrary order, under minimal hypotheses, some sufficient conditions for Lipschitz continuity of the solution of a state constrained optimal control problems. The proof combines the approach by Hager in 1979 for dealing with first-order state constraints, and the high-order alternative formulation of the optimality conditions.
Citation
Published as INRIA Research Report 7229, March 2010. The final version will appear in Mathematics and its Applications / Annals of AOSR 2 (2010).