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Well Posed Optimal Control Problems: A Perturbation Approach

  • Tullio Zolezzi
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 78)

Abstract

Tikhonov and Hadamard well posedness. Let X be a convergence space and

$$ J:X \to ( - \infty , + \infty ] $$

a proper extended-real valued function on X. The (global) minimization problem (X, J) is called Tikhonov well posed iff there exists exactly one global minimizer x* and every minimizing sequence for (X, J) converges to x*; Hadamard well posed iff there exists exactly one global minimizer x* and, roughly speaking, x* depends continuously upon problem’s data.

Keywords

Optimal Control Problem Strong Convergence Real Banach Space Convergence Space Posedness Criterion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 1996

Authors and Affiliations

  • Tullio Zolezzi
    • 1
  1. 1.Dipartimento di MatematicaUniversita’ di GenovaGenovaItaly

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