A criterion for structural stability of quadruples of matrices related to singular linear systems
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 49-56
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The concept of structural stability, first introduced by A. A. Andronov and L. S. Pontryagin in 1937 in the qualitative theory of dynamical systems (structurally stable elements being those whose behavior does not change when applying small perturbations), has been widely studied by many authors in control theory. In this work, we present conditions to characterize structurally stable linear time-invariant singular systems when considering different equivalence relations among them.
@article{FPM_2005_11_3_a2,
author = {M. Garcia and M. Magret and S. Tarragona},
title = {A criterion for structural stability of quadruples of matrices related to singular linear systems},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {49--56},
publisher = {mathdoc},
volume = {11},
number = {3},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_3_a2/}
}
TY - JOUR AU - M. Garcia AU - M. Magret AU - S. Tarragona TI - A criterion for structural stability of quadruples of matrices related to singular linear systems JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2005 SP - 49 EP - 56 VL - 11 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2005_11_3_a2/ LA - ru ID - FPM_2005_11_3_a2 ER -
%0 Journal Article %A M. Garcia %A M. Magret %A S. Tarragona %T A criterion for structural stability of quadruples of matrices related to singular linear systems %J Fundamentalʹnaâ i prikladnaâ matematika %D 2005 %P 49-56 %V 11 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2005_11_3_a2/ %G ru %F FPM_2005_11_3_a2
M. Garcia; M. Magret; S. Tarragona. A criterion for structural stability of quadruples of matrices related to singular linear systems. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 49-56. http://geodesic.mathdoc.fr/item/FPM_2005_11_3_a2/