On the generalized Gardner problem for phase-locked loops in electrical grids

DOI10.1134/S1064562421030108zbMath1478.93471OpenAlexW3196543778WikidataQ115473759 ScholiaQ115473759MaRDI QIDQ2243879

S. I. Volskiy, M. V. Yuldashev, Nikolay V. Kuznetsov, D. A. Sorokin, M. Yu. Lobachev, R. V. Yuldashev

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421030108

zbMATH Keywords

Lyapunov functionphase-locked loopGardner problemelectrical gridstunable lock-in range

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Frequency-response methods in control theory (93C80) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Related Items (1)

The Gardner Problem and Cycle Slipping Bifurcation for Type-2 Phase-Locked Loops

Cites Work

• Unnamed Item
• Multimode formation stability
• Theory of hidden oscillations and stability of control systems
• Hidden attractors in dynamical models of phase-locked loop circuits: limitations of simulation in MATLAB and SPICE
• On the Gardner problem for phase-locked loops

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