English

First and second order optimality conditions for optimal control problems of state constrained integral equations

Optimization and Control 2013-10-17 v2

Abstract

This paper deals with optimal control problems of integral equations, with initial-final and running state constraints. The order of a running state constraint is defined in the setting of integral dynamics, and we work here with constraints of arbitrary high orders. First and second-order necessary conditions of optimality are obtained, as well as second-order sufficient conditions.

Keywords

Cite

@article{arxiv.1205.3614,
  title  = {First and second order optimality conditions for optimal control problems of state constrained integral equations},
  author = {J. Frédéric Bonnans and Constanza De La Vega and Xavier Dupuis},
  journal= {arXiv preprint arXiv:1205.3614},
  year   = {2013}
}
R2 v1 2026-06-21T21:04:54.843Z