Fabbri, Giorgio and Gozzi, Fausto and Swiech, Andrzej (2007): Verification theorem and construction of epsilonoptimal controls for control of abstract evolution equations.

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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.
Item Type:  MPRA Paper 

Original Title:  Verification theorem and construction of epsilonoptimal controls for control of abstract evolution equations 
Language:  English 
Keywords:  optimal control of PDE; verification theorem; dynamic programming; $\epsilon$optimal controls; HamiltonJacobiBellman equations 
Subjects:  C  Mathematical and Quantitative Methods > C6  Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C61  Optimization Techniques; Programming Models; Dynamic Analysis 
Item ID:  3547 
Depositing User:  Giorgio Fabbri 
Date Deposited:  14. Jun 2007 
Last Modified:  18. Feb 2013 12:04 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/3547 