# Verification theorem and construction of $ε$-optimal controls for control of abstract evolution equations

Verification theorem and construction of $ε$-optimal controls for control of abstract evolution equations - Download this document for free, or read online. Document in PDF available to download.

Download or read this book online for free in PDF: Verification theorem and construction of $ε$-optimal controls for control of abstract evolution equations
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 $\epsilon$-optimal controls.

Author: G. Fabbri; F. Gozzi; A. Swiech

Source: https://archive.org/