Investigation of the problem on a parametric resonance in Lurie systems with weakly oscillating coefficients

DOI10.1134/S0005117922020072zbMath1489.93092OpenAlexW4226368972MaRDI QIDQ2139480

A. S. Belova, M. G. Yumagulov, L. S. Ibragimova

Publication date: 17 May 2022

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117922020072

zbMATH Keywords

stabilitysmall parameterHamiltonian systemparametric resonanceLurie system

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Cites Work

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• The Andronov-Hopf bifurcation with weakly oscillating parameters
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• Stability and synchronization of oscillators: new Lyapunov functions
• The Hamiltonian nature of Lur'e systems
• Methods for studying the stability of linear periodic systems depending on a small parameter

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