Application of the method of Lyapunov periodic functions

DOI10.3103/S1063454111030058zbMath1251.93113MaRDI QIDQ1759525

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

Publication date: 21 November 2012

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

zbMATH Keywords

direct Lyapunov methodglobal asymptoticsphase systemsfrequency Yakubovich-Kalman theoremnumber of cycle slippings

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (2)

Volterra Equations with Periodic Nonlinearities: Multistability, Oscillations and Cycle Slipping ⋮ Conditions for the absence of cycles of the second kind in continuous and discrete systems with cylindrical phase space

Cites Work

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• Phase synchronization: theory and applications
• Dynamic feedback control for cycle slipping in a phase-controlled system
• Coordinatewise estimates for vector outputs of multivariable phase control systems
• On the asymptotic properties of solutions of differential equations with multiple equilibria
• Criteria for dichotomy and gradient-like behavior of a class of nonlinear systems with multiple equilibria
• Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications

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