Ultimate Boundedness in the Sense of Poisson of Solutions~to~Systems~of~Differential Equations and Lyapunov Functions
Matematičeskie zametki, Tome 103 (2018) no. 2, pp. 223-235
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The notions of different types of boundedness in the sense of Poisson of solutions to systems of differential equations are introduced. Sufficient conditions are obtained for different types of boundedness of solutions in the sense of Poisson, which are introduced in the paper.
Keywords:
boundedness of solutions, boundedness of solutions in the sense of Poisson, Lyapunov function, partial boundedness of solutions, partially controllable initial conditions.
@article{MZM_2018_103_2_a5,
author = {K. S. Lapin},
title = {Ultimate {Boundedness} in the {Sense} of {Poisson} of {Solutions~to~Systems~of~Differential} {Equations} and {Lyapunov} {Functions}},
journal = {Matemati\v{c}eskie zametki},
pages = {223--235},
publisher = {mathdoc},
volume = {103},
number = {2},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_2_a5/}
}
TY - JOUR AU - K. S. Lapin TI - Ultimate Boundedness in the Sense of Poisson of Solutions~to~Systems~of~Differential Equations and Lyapunov Functions JO - Matematičeskie zametki PY - 2018 SP - 223 EP - 235 VL - 103 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2018_103_2_a5/ LA - ru ID - MZM_2018_103_2_a5 ER -
%0 Journal Article %A K. S. Lapin %T Ultimate Boundedness in the Sense of Poisson of Solutions~to~Systems~of~Differential Equations and Lyapunov Functions %J Matematičeskie zametki %D 2018 %P 223-235 %V 103 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2018_103_2_a5/ %G ru %F MZM_2018_103_2_a5
K. S. Lapin. Ultimate Boundedness in the Sense of Poisson of Solutions~to~Systems~of~Differential Equations and Lyapunov Functions. Matematičeskie zametki, Tome 103 (2018) no. 2, pp. 223-235. http://geodesic.mathdoc.fr/item/MZM_2018_103_2_a5/