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

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Author Info
Fabbri, Giorgio
Gozzi, Fausto
Swiech, Andrzej

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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 $\epsilon$-optimal controls.

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File URL: http://mpra.ub.uni-muenchen.de/3547/
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 3547.

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Date of creation: May 2007
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Handle: RePEc:pra:mprapa:3547

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Related research
Keywords: optimal control of PDE verification theorem dynamic programming $\epsilon$-optimal controls Hamilton-Jacobi-Bellman equations

Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis

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  1. Barucci, Emilio & Gozzi, Fausto, 1998. "Investment in a vintage capital model," Research in Economics, Elsevier, vol. 52(2), pages 159-188, June. [Downloadable!] (restricted)
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