Abstract
We consider a well-known model of a thin cylindrical shell with rotational inertia terms. We introduce suitable dissipative feedback controls on the boundary in the form of forces, shears, and moments and show that the resulting closed loop feedback problem generates a s.c. semigroup of contractions in the energy space and that the corresponding energy of the system decays exponentially in the uniform topology. Consequently, we obtain the exact controllability of the cylinder by explicit boundary controls.
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© 1998 Springer Science+Business Media Dordrecht
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McMillan, C. (1998). Uniform Stabilization of a Thin Cylindrical Shell with Rotational Inertia Terms. In: Optimal Control. Applied Optimization, vol 15. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6095-8_17
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DOI: https://doi.org/10.1007/978-1-4757-6095-8_17
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4796-3
Online ISBN: 978-1-4757-6095-8
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