Eeffective criteria of exponential stability of autonomous difference equations
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 402-414
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We obtain stability criteria for several classes of linear autonomous difference equations. The criteria are expressed in explisit analytic form, as well as in the form of belonging values of a vector function of the equation parameters to a domain in three-dimensional space.
Keywords:
difference equation, stability, stability domain, Schur-Cohn polynomial.
@article{VTAMU_2018_23_123_a7,
author = {A. A. Kandakov and K. M. Chudinov},
title = {Eeffective criteria of exponential stability of autonomous difference equations},
journal = {Vestnik rossijskih universitetov. Matematika},
pages = {402--414},
publisher = {mathdoc},
volume = {23},
number = {123},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a7/}
}
TY - JOUR AU - A. A. Kandakov AU - K. M. Chudinov TI - Eeffective criteria of exponential stability of autonomous difference equations JO - Vestnik rossijskih universitetov. Matematika PY - 2018 SP - 402 EP - 414 VL - 23 IS - 123 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a7/ LA - ru ID - VTAMU_2018_23_123_a7 ER -
%0 Journal Article %A A. A. Kandakov %A K. M. Chudinov %T Eeffective criteria of exponential stability of autonomous difference equations %J Vestnik rossijskih universitetov. Matematika %D 2018 %P 402-414 %V 23 %N 123 %I mathdoc %U http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a7/ %G ru %F VTAMU_2018_23_123_a7
A. A. Kandakov; K. M. Chudinov. Eeffective criteria of exponential stability of autonomous difference equations. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 402-414. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a7/