Optimal control of second-order integral equations
Optimization and Control
2019-04-16 v1
Abstract
We analyze optimal control problems for multiple Fredholm and Volterra integral equations. These are non Pontryaginian optimal control problems, i.e. an extremum principle of Pontryagin type does not hold. We obtain first order necessary conditions for optimality, and second order necessary and sufficient conditions. We illustrate with applications to first order and second order Volterra bilinear control problems.
Cite
@article{arxiv.1904.06561,
title = {Optimal control of second-order integral equations},
author = {S. A. Belbas},
journal= {arXiv preprint arXiv:1904.06561},
year = {2019}
}