Computation of periodic solutions and their regions of attraction for flexible structures under nonlinear feedback control

DOI10.1177/1077546311411754zbMath1348.70056OpenAlexW2069655808MaRDI QIDQ2831953

Michael Borre, Henryk Flashner

Publication date: 4 November 2016

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546311411754

zbMATH Keywords

limit cyclesregion of attractionflexible structuresnumerical-analytical methods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear systems in control theory (93C10) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42)

Cites Work

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• Cell-to-cell mapping. A method of global analysis for nonlinear systems
• Bounded controllers for robust exponential convergence
• An Unravelling Algorithm for Global Analysis of Dynamical Systems: An Application of Cell-to-Cell Mappings
• Poincaré-like Simple Cell Mapping For Non-linear Dynamical Systems
• Control of Uncertain Nonlinear Systems

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