In this work, we examine, through the observation of a class of linear distributed systems, the possibility of reducing the effect of disturbances (pollution, etc.), by making observations within a given margin of tolerance using a control term. This problem is called enlarged exact remediability. We show that with a convenient choice of input and output operators (actuators and sensors, respectively), the considered control problem has a unique optimal solution, which will be given. We also study the relationship between the notion of remediability, introduced in previous works, and that of enlarged exact remediability.
@article{bwmeta1.element.bwnjournal-article-amcv12i4p467bwm,
author = {Afifi, Larbi and Chafiai, Abdelhakim and Bel Fekih, Abdelaziz},
title = {Enlarged exact compensation in distributed systems},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {12},
year = {2002},
pages = {467-477},
zbl = {1045.93021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv12i4p467bwm}
}
Afifi, Larbi; Chafiai, Abdelhakim; Bel Fekih, Abdelaziz. Enlarged exact compensation in distributed systems. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) pp. 467-477. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv12i4p467bwm/
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