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\title{Stability of value functions for state constrained Bolza problems.}
\author{Hayk Sedrakyan}
\institute{Universit\'e Pierre et Marie Curie, Paris, France.}
\email{sedrakyan.hayk@gmail.com}
%\coauthor{Coauthor 1,  Coauthor 2, \and Coauthor 3} % comment out if not needed

\mymaketitle

\section{Abstract}
In this talk we consider a family of Bolza optimal control problems and investigate stability properties of their value functions. The stability is guaranteed by the classical assumptions imposed on Hamiltionians and an inward pointing condition on state constraints. As a biproduct of this investigation we also show uniqueness of solutions to a family of state-constrained Hamilton-Jacobi equations and new representation theorems for Hamiltonians that are convex in the last variable.


\paragraph{Acknowledgments}
This work was co-funded by the European
Union under the 7th Framework Programme ``FP7-PEOPLE-2010-ITN'',
grant agreement number 264735-SADCO.

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\end{thebibliography}

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