Detectability of linear systems of differential-algebraic equations
The Bulletin of Irkutsk State University. Series Mathematics, Tome 6 (2013) no. 3, pp. 109-116
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We consider an observed time varying system of linear ordinary differential equations with an identically degenerate matrix coefficient preceding the derivative of the desired vector function. We study detectability of such system under the assumptions of existence of a structural form, which are devided into “differential” and “algebraic” subsystems.
Keywords:
differential-algebraic equations; structural form; detectability.
@article{IIGUM_2013_6_3_a8,
author = {P. S. Petrenko},
title = {Detectability of linear systems of differential-algebraic equations},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {109--116},
publisher = {mathdoc},
volume = {6},
number = {3},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2013_6_3_a8/}
}
TY - JOUR AU - P. S. Petrenko TI - Detectability of linear systems of differential-algebraic equations JO - The Bulletin of Irkutsk State University. Series Mathematics PY - 2013 SP - 109 EP - 116 VL - 6 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IIGUM_2013_6_3_a8/ LA - ru ID - IIGUM_2013_6_3_a8 ER -
P. S. Petrenko. Detectability of linear systems of differential-algebraic equations. The Bulletin of Irkutsk State University. Series Mathematics, Tome 6 (2013) no. 3, pp. 109-116. http://geodesic.mathdoc.fr/item/IIGUM_2013_6_3_a8/