Analysis of Equiboundedness and Stability of the Motion of Essentially Nonlinear Systems

A new approach for estimating the Lyapunov functions along the solutions of essentially nonlinear systems of equations of perturbed motion is proposed. As applications, the problems of β-boundedness and (α, β, J )-stability of motion of non-autonomous essentially nonlinear systems are considered.

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Bibliographic Details
Published in:International applied mechanics 2023, Vol.59 (1), p.59-67
Main Author: Martynyuk, A. A.
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Differential equations
Engineering
Liapunov functions
Motion stability
Nonlinear systems
Stability analysis
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Description
Summary:A new approach for estimating the Lyapunov functions along the solutions of essentially nonlinear systems of equations of perturbed motion is proposed. As applications, the problems of β-boundedness and (α, β, J )-stability of motion of non-autonomous essentially nonlinear systems are considered.
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-023-01199-w