Verification theorem and construction of $\epsilon$-optimal controls for control of abstract evolution equations
Optimization and Control
2007-06-12 v1
Abstract
We study several aspects of the dynamic programming approach to optimal control of abstract evolution equations, including a class of semilinear partial differential equations. We introduce and prove a verification theorem which provides a sufficient condition for optimality. Moreover we prove sub- and superoptimality principles of dynamic programming and give an explicit construction of -optimal controls.
Keywords
Cite
@article{arxiv.0706.1339,
title = {Verification theorem and construction of $\epsilon$-optimal controls for control of abstract evolution equations},
author = {G. Fabbri and F. Gozzi and A. Swiech},
journal= {arXiv preprint arXiv:0706.1339},
year = {2007}
}