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

1Martynyuk, AA
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2018, 9:3-11
https://doi.org/10.15407/dopovidi2018.09.003
Section: Mathematics
Language: Russian
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.

Keywords: estimate of the norm of solutions, Lyapunov function, nonlinear system of a general form, stability of motion
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