On partial asymptotic stability by the method of limiting equation

DOI10.1007/BF01766850zbMath0571.34039OpenAlexW2053414040MaRDI QIDQ1061916

László Hatvani

Publication date: 1985

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01766850

zbMATH Keywords

Lyapunov functionpartial asymptotic stabilityBarbashin-Krasovskij theoremdissipative nonholonomic mechanical systems

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (5)

Investigation of partial asymptotic stability and instability based on the limiting equations ⋮ Global asymptotic stability for half-linear differential systems with generalized almost periodic coefficients ⋮ Partial stability and control: the state-of-the-art and future trends ⋮ An investigation of partial asymptotic stability ⋮ Dynamic control and motion planning technique for a class of nonlinear systems with drift

Cites Work

• On asymptotic stability and instability relative to a part of variables
• Topological dynamics of an ordinary differential equation
• Topological dynamics of ordinary differential equations and Kurzweil equations
• The limiting equations of nonautonomous ordinary differential equations
• Stability theory by Liapunov's direct method
• The method of Ljapunov functions in the stability problem for motion with respect to a part of the variables
• Sull'estensione ai sistemi dissipativi del criterio di stabilita del Routh
• Sulla stabilità asintotica parziale
• On asymptotic stability and instability of motion with respect to a part of the variables
• On stability of motion of nonholonomic systems
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