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

G. Fabbri; F. Gozzi; A. Swiech

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arXiv · 0706.1339

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

G. Fabbri·F. Gozzi·A. Swiech

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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 $ε$-optimal controls.

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BibTeX RIS

G. Fabbri, F. Gozzi, A. Swiech. 2007-06-10. Verification theorem and construction of $ε$-optimal controls for control of abstract evolution equations. https://arxiv.org/abs/0706.1339

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