Theoretical and applied mechanics, Tome 15 (1989) no. 1, p. 75
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A. A. Martyiyuk; V. G. Miladzhanov. To the stability theory of singularly perturbed Lurie systems. Theoretical and applied mechanics, Tome 15 (1989) no. 1, p. 75 . http://geodesic.mathdoc.fr/item/TAM_1989_15_1_a7/
@article{TAM_1989_15_1_a7,
author = {A. A. Martyiyuk and V. G. Miladzhanov},
title = {To the stability theory of singularly perturbed {Lurie} systems},
journal = {Theoretical and applied mechanics},
pages = {75 },
year = {1989},
volume = {15},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAM_1989_15_1_a7/}
}
TY - JOUR
AU - A. A. Martyiyuk
AU - V. G. Miladzhanov
TI - To the stability theory of singularly perturbed Lurie systems
JO - Theoretical and applied mechanics
PY - 1989
SP - 75
VL - 15
IS - 1
UR - http://geodesic.mathdoc.fr/item/TAM_1989_15_1_a7/
LA - en
ID - TAM_1989_15_1_a7
ER -
%0 Journal Article
%A A. A. Martyiyuk
%A V. G. Miladzhanov
%T To the stability theory of singularly perturbed Lurie systems
%J Theoretical and applied mechanics
%D 1989
%P 75
%V 15
%N 1
%U http://geodesic.mathdoc.fr/item/TAM_1989_15_1_a7/
%G en
%F TAM_1989_15_1_a7
Sufficient uniform stability conditions are established for singularly perturbed Lurie system on the basis of Lyapunov’s direct method where matrix function construction is used. The obtained conditions reduce the requirements to dynamical properties of degenerate systems and boundary layer under which uniform asymptotic stability takes place.