On topological obstructions to global stabilization of an inverted pendulum

DOI10.1016/j.sysconle.2018.01.005zbMath1386.93259arXiv1704.03698OpenAlexW2605534565MaRDI QIDQ1749411

I. Yu. Polekhin

Publication date: 16 May 2018

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.03698

zbMATH Keywords

periodic solutionpartial stabilitypendulum on a cartstabilization of an inverted pendulumtopological obstructions to stabilization

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Adaptive or robust stabilization (93D21) Control of mechanical systems (70Q05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

The method of averaging for the Kapitza-Whitney pendulum, Some results on the existence of forced oscillations in mechanical systems, On the impossibility of global stabilization of the Lagrange top, On motions without falling of an inverted pendulum with dry friction, Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces, On the application of the Ważewski method to the problem of global stabilization

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