An observability problem for a class of linear, uncertain-parameter, time-invariant dynamic SISO systems is discussed. The class of systems under consideration is described by a finite dimensional state-space equation with an interval diagonal state matrix, known control and output matrices and a two-dimensional uncertain parameter space. For the system considered a simple geometric interpretation of the system spectrum can be given. The geometric interpretation of the system spectrum is the base for defining observability and non-observability areas for the discussed system. The duality principle allows us to test observablity using controllability criteria. For the uncertain-parameter system considered, some controllability criteria presented in the author's previous papers are used. The results are illustrated with numerical examples.
@article{bwmeta1.element.bwnjournal-article-amcv15i3p331bwm,
author = {Oprz\k edkiewicz, Krzysztof},
title = {An observability problem for a class of uncertain-parameter linear dynamic systems},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {15},
year = {2005},
pages = {331-338},
zbl = {1169.93313},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv15i3p331bwm}
}
Oprzędkiewicz, Krzysztof. An observability problem for a class of uncertain-parameter linear dynamic systems. International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) pp. 331-338. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv15i3p331bwm/
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