Существование и устойчивость наклонных положений равновесия маятника с вибрирующей точкой подвеса

摘要

For a pendulum with vibrated suspended point, conditions of the equilibrium of an inclined state is obtained. It is shown that only in vertical states exact equilibrium is possible under any bounded motion of a suspended point. Control laws providing harmonic oscillations about fixed inclined state with small amplitude are designed.