On the Impossibility of Global Stabilization of the Lagrange Top View Full Text


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Article Info

DATE

2018-12

AUTHORS

I. Yu. Polekhin

ABSTRACT

It is shown that the problem of the asymptotic stabilization of a given position of the Lagrange top for any control from a sufficiently wide class does not permit the existence of a single uniformly asymptotically stable equilibrium, even with possible impacts of the top against the horizontal plane; i.e., the global stabilization of the system is impossible. In particular, we show that it is impossible to globally stabilize the top by moving its pivot point along the horizontal plane. More... »

PAGES

71-75

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.3103/s002565441805014x

DOI

http://dx.doi.org/10.3103/s002565441805014x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112504087


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