Well Posed Optimal Control Problems: A Perturbation Approach
Tikhonov and Hadamard well posedness. Let X be a convergence space and
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.
KeywordsOptimal Control Problem Strong Convergence Real Banach Space Convergence Space Posedness Criterion
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