The direct Lyapunov method in investigating the attraction of trajectories of finite-difference inclusions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 1, pp. 22-32
Voir la notice de l'article provenant de la source Math-Net.Ru
Finite-difference analogues of differential inclusions encountered in the theory of optimization and some other areas are considered. The region of attraction of the trajectories of finite-difference inclusions with respect to an arbitrary Lipschitz Lyapunov function, differentiable with respect to any direction, is investigated.
@article{ZVMMF_1990_30_1_a2,
author = {S. K. Zavriev and A. G. Perevozchikov},
title = {The direct {Lyapunov} method in investigating the attraction of trajectories of finite-difference inclusions},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {22--32},
publisher = {mathdoc},
volume = {30},
number = {1},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_1_a2/}
}
TY - JOUR AU - S. K. Zavriev AU - A. G. Perevozchikov TI - The direct Lyapunov method in investigating the attraction of trajectories of finite-difference inclusions JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1990 SP - 22 EP - 32 VL - 30 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_1_a2/ LA - ru ID - ZVMMF_1990_30_1_a2 ER -
%0 Journal Article %A S. K. Zavriev %A A. G. Perevozchikov %T The direct Lyapunov method in investigating the attraction of trajectories of finite-difference inclusions %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1990 %P 22-32 %V 30 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_1_a2/ %G ru %F ZVMMF_1990_30_1_a2
S. K. Zavriev; A. G. Perevozchikov. The direct Lyapunov method in investigating the attraction of trajectories of finite-difference inclusions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 1, pp. 22-32. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_1_a2/