Areas of attraction of a pendulum under the influence of oblique vibration of a suspension point

DOI10.1134/S1063454121030067zbMath1476.93134OpenAlexW3203924457MaRDI QIDQ2239082

Yanyan Li

Publication date: 2 November 2021

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

Full work available at URL: https://doi.org/10.1134/s1063454121030067

zbMATH Keywords

stabilityinverse problemdomain of attractionspherical pendulumsuspension point vibration

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability for nonlinear problems in mechanics (70K20) Inverse problems for PDEs (35R30)

Cites Work

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• The Brockett problem for linear discrete control systems
• The inverse problem of stabilization of a spherical pendulum in a given position under oblique vibration
• Periodic output feedback stabilization of single-input single-output continuous-time systems with odd relative degree
• Practical stability and stabilization
• Open problems in mathematical systems and control theory

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