Abstract
By similar arguments as for the single inverted pendulum it is shown that stabilization by random vibration is also possible for a family of linear double oscillators which includes the inverted double pendulum with a certain configuration for the parameters of damping, restoring and coupling.
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Wihstutz, V. (2003). On Stabilizing the Double Oscillator by Mean Zero Noise. In: Namachchivaya, N.S., Lin, Y.K. (eds) IUTAM Symposium on Nonlinear Stochastic Dynamics. Solid Mechanics and Its Applications, vol 110. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0179-3_15
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DOI: https://doi.org/10.1007/978-94-010-0179-3_15
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