Frequency estimates for the number of cycle slippings in a phase system with nonlinear vector function

DOI10.3103/S1063454109010051zbMath1172.93016OpenAlexW2094879228MaRDI QIDQ735591

A. I. Shepelyavyi, A. A. Perkin, N. V. Utina, V. B. Smirnova

Publication date: 23 October 2009

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454109010051

zbMATH Keywords

ordinary differential equationsLyapunov functionsperiodic vector nonlinearitysystem described by difference equationsYakubovich-Kalman lemma

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Related Items (2)

Application of the method of Lyapunov periodic functions ⋮ The speed-gradient algorithm in the inverse stoker problem for a synchronous electric machine

Cites Work

• A frequency theorem in control theory
• Frequency estimates of the number of cycle slippings in phase-locked automatic control systems
• Criteria for dichotomy and gradient-like behavior of a class of nonlinear systems with multiple equilibria
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