On the principle of comparison and estimates of the Lyapunov functions for nonlinear systems

TitleOn the principle of comparison and estimates of the Lyapunov functions for nonlinear systems
Publication TypeJournal Article
Year of Publication2018
AuthorsMartynyuk, AA
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2018.09.003
Issue9
SectionMathematics
Pagination3-11
Date Published9/2018
LanguageRussian
Abstract

Some new estimates of the Lyapunov function for a nonlinear system and conditions of Lyapunov stability and stability on a finite interval are established. The above conditions are based on estimates of the norms of solutions of a nonlinear system of equations of perturbed motion.
Keywordsestimate of the norm of solutions, Lyapunov function, nonlinear system of a general form, stability of motion
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