Analysis of equiboundedness and stability of the motion of essentially nonlinear systems

DOI10.1007/S10778-023-01199-WzbMATH Open1545.70017MaRDI QIDQ6607872

A. A. Martynyuk

Publication date: 19 September 2024

Published in: International Applied Mechanics (Search for Journal in Brave)

zbMATH Keywords

essentially nonlinear system\(( \alpha, \beta, J)\)-stability\(\beta\)-boundednessestimate of Lyapunov functions

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Stability of solutions to ordinary differential equations (34D20) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Cites Work

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• Sufficient stability conditions for polynomial systems
• A new generalization of lemma Gronwall-Bellman
• Stability. Elements of the theory and applications with examples

Related Items (2)

Application of the second Lyapunov method for getting the conditions of stability in systems with quadratic right-hand side ⋮ Boundedness in nonlinear oscillatory systems over a given time interval

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