We consider a discrete disturbed system given by the difference bilinear equation where are disturbances which excite the system in a linear and a bilinear form. We assume that the system is augmented with the output function. Let be a tolerance index on the output. The disturbance is said to be -admissible if, where is the output signal associated with the case of an uninfected system. The set of all -admissible disturbances is the admissible set. The characterization of is investigated and numerical simulations are given.
@article{bwmeta1.element.bwnjournal-article-amcv11i2p349bwm,
author = {Bouyaghroumni, Jamal and El Jai, Abdelhaq and Rachik, Mostafa},
title = {Admissible disturbance sets for discrete perturbed systems},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {11},
year = {2001},
pages = {349-367},
zbl = {0980.93048},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv11i2p349bwm}
}
Bouyaghroumni, Jamal; El Jai, Abdelhaq; Rachik, Mostafa. Admissible disturbance sets for discrete perturbed systems. International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) pp. 349-367. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv11i2p349bwm/
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