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)


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.




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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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