Resumen
We consider a general version of the classical problem of the stabilization of the inverted pendulum by a vertical periodic vibration of the point of suspension. Instead of the usual harmonic motion, we propose an oscillatory control with a piecewise-constant acceleration, obtaining explicit conditions over the frequency or the amplitude leading to the desired stabilization.
Idioma original | Inglés |
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Páginas (desde-hasta) | 1118-1128 |
Número de páginas | 11 |
Publicación | Mathematical Methods in the Applied Sciences |
Volumen | 32 |
N.º | 9 |
DOI | |
Estado | Publicada - jun. 2009 |
Publicado de forma externa | Sí |