K. Schiele, ON THE STABILIZATION OF A PARAMETRICALLY DRIVEN INVERTED DOUBLE PENDULUM, Zeitschrift fur angewandte Mathematik und Mechanik, 77(2), 1997, pp. 143-146
The stability of a two state process periodically driven inverted doub
le pendulum is considered by Floquet's theory. A stability criterion i
s derived and numerically analysed. For some values of the excitation
a stabilization is indeed possible. The corresponding parameter region
is inside of the parameter region. where a single pendulum is stabili
zed.