Estimating the Lyapunov function and stability of motion of a system with equations of motion with an asymptotically expanded right-hand side

DOI10.1007/s10778-021-01064-8zbMath1462.34082OpenAlexW3160840101MaRDI QIDQ2031921

V. A. Chernienko, Anatoly Martynyuk

Publication date: 15 June 2021

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

Full work available at URL: https://doi.org/10.1007/s10778-021-01064-8

zbMATH Keywords

estimates of Lyapunov functionestimation of deviation of solutions of averaged equationsstability on finite intervalsystems with small parameter

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

• Stabilization of the motion of pseudo-linear affine systems
• Constructive estimation of the Lyapunov function for quadratic nonlinear systems
• Sufficient stability conditions for polynomial systems
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