A new method for optimal control of Volterra integral equations
Optimization and Control
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We formulate and analyze a new method for solving optimal control problems for systems governed by Volterra integral equations. Our method utilizes discretization of the original Volterra controlled system and a novel type of dynamic programming jn which the Hamilton-Jacobi function is parametrized by the control function (rather than the state, as in the case of ordinary dynamic programming). We also derive estimates for the computational cost of our method.
Cite
@article{arxiv.math/0611243,
title = {A new method for optimal control of Volterra integral equations},
author = {S. A. Belbas},
journal= {arXiv preprint arXiv:math/0611243},
year = {2007}
}
Comments
31 pages