On the impossibility of global stabilization of the Lagrange top

DOI10.3103/S002565441805014XzbMath1465.70037OpenAlexW2916922486MaRDI QIDQ2226131

I. Yu. Polekhin

Publication date: 11 February 2021

Published in: Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s002565441805014x

zbMATH Keywords

global stabilizationfeedback controlLagrange toprigid body dynamic

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20) Robot dynamics and control of rigid bodies (70E60)

Related Items (2)

The method of averaging for the Kapitza-Whitney pendulum ⋮ On the application of the Ważewski method to the problem of global stabilization

Cites Work

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• On forced oscillations in groups of interacting nonlinear systems
• Forced oscillations of a massive point on a compact surface with a boundary
• A topological view on forced oscillations and control of an inverted pendulum
• On topological obstructions to global stabilization of an inverted pendulum
• Calculus of variations in the large, existence of trajectories in a domain with boundary, and Whitney's inverted pendulum problem

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