Geodesic
Necessary and sufficient criteria of Lyapunov stability for systems of ordinary differential equations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 224 (2023), pp. 10-18

Voir la notice de l'article provenant de la source Math-Net.Ru

Necessary and sufficient criteria of Lyapunov stability for systems of ordinary differential equations are obtained. The criteria are obtained in the multiplicative form based on the transformation of difference schemes for numerical integration and are converted to the additive and integral forms. The formal restrictions for these criteria are constructed and their applicability conditions are indicated.
Keywords: Lyapunov stability, computer stability analysis, numerical modeling of stability. 
@article{INTO_2023_224_a1,
     author = {S. G. Bulanov},
     title = {Necessary and sufficient criteria of {Lyapunov} stability for systems of ordinary differential equations},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {10--18},
     publisher = {mathdoc},
     volume = {224},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_224_a1/}
}
TY  - JOUR
AU  - S. G. Bulanov
TI  - Necessary and sufficient criteria of Lyapunov stability for systems of ordinary differential equations
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2023
SP  - 10
EP  - 18
VL  - 224
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2023_224_a1/
LA  - ru
ID  - INTO_2023_224_a1
ER  - 
%0 Journal Article
%A S. G. Bulanov
%T Necessary and sufficient criteria of Lyapunov stability for systems of ordinary differential equations
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2023
%P 10-18
%V 224
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2023_224_a1/
%G ru
%F INTO_2023_224_a1
S. G. Bulanov. Necessary and sufficient criteria of Lyapunov stability for systems of ordinary differential equations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 224 (2023), pp. 10-18. http://geodesic.mathdoc.fr/item/INTO_2023_224_a1/