First and second order optimality conditions for optimal control problems of state constrained integral equations
arXiv:1205.3614 · doi:10.1007/s10957-013-0299-3
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.