Stabilization of the spatial oscillations of an elastic system model

Details Stabilization of the spatial oscillations of an elastic system model Stabilization of the spatial oscillations of an elastic system model

2007-07-15

arxiv.org/abs/0707.2209v1

Mathematics

Optimization and Control

To appear in: Bulletin of University of Kyiv (Series: Physics & Mathematics), 2007, No. 3

Scientific paper

A system of partial differential equations describing the spatial oscillations of an Euler-Bernoulli beam with a tip mass is considered. The linear system considered is actuated by two independent controls and separated into a pair of differential equations in a Hilbert space. A feedback control ensuring strong stability of the equilibrium in the sense of Lyapunov is proposed. The proof of the main result is based on the theory of strongly continuous semigroups.

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