Stabilisation of large motions of Euler–Bernoulli beams by boundary controls
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This is an accepted manuscript of an article published by Taylor & Francis in The International Journal of Systems Sciences on 17/01/2018 available online at http://www.tandfonline.com/10.1080/00207721.2018.1425506.
This paper proposes a design of boundary controls for stabilisation of Euler–Bernoulli beams with large motions and non-neglectable moment of inertia under external loads. Common types of boundary conditions in practice are considered. The designed boundary controllers guarantee globally practical K∞-exponential stability of closed-loop system. The control design, well-posedness and stability analysis are based on two Lyapunov-type theorems developed for a class of evolution systems in Hilbert space.
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