A linear quadratic optimal control problem for a class of discrete distributed systems is analyzed. To solve this problem, we introduce an adequate topology and establish that optimal control can be determined though an inversion of the appropriate isomorphism. An example and a numerical approach are given.
@article{bwmeta1.element.bwnjournal-article-amcv16i4p431bwm,
author = {Rachik, Mostafa and Lhous, Mustapha and El Kahlaoui, Ouafa},
title = {A quadratic optimal control problem for a class of linear discrete distributed systems},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {16},
year = {2006},
pages = {431-440},
zbl = {1121.49035},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv16i4p431bwm}
}
Rachik, Mostafa; Lhous, Mustapha; El Kahlaoui, Ouafa. A quadratic optimal control problem for a class of linear discrete distributed systems. International Journal of Applied Mathematics and Computer Science, Tome 16 (2006) pp. 431-440. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv16i4p431bwm/
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