In a Hilbert space setting, necessary and sufficient conditions for the minimum norm solution u to the equation Su = Rz to be continuously dependent on z are given. These conditions are used to study the continuity of minimum energy and linear-quadratic control problems for infinite dimensional linear systems with fixed endpoints.
@article{bwmeta1.element.bwnjournal-article-amcv24i4p723bwm,
author = {K. Maciej Przy\l uski},
title = {On an infinite dimensional linear-quadratic problem with fixed endpoints: the continuity question},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {24},
year = {2014},
pages = {723-733},
zbl = {1309.49030},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv24i4p723bwm}
}
K. Maciej Przyłuski. On an infinite dimensional linear-quadratic problem with fixed endpoints: the continuity question. International Journal of Applied Mathematics and Computer Science, Tome 24 (2014) pp. 723-733. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv24i4p723bwm/
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