Uniform Stabilization of a Thin Cylindrical Shell with Rotational Inertia Terms

  • C. McMillan
Part of the Applied Optimization book series (APOP, volume 15)

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.

Keywords

Bilinear Form Unique Continuation Neutral Surface Exact Controllability Uniform Stabilization 
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Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • C. McMillan
    • 1
  1. 1.Department of MathematicsVirginia Polytechnic Institute and State UniversityBlacksburgUSA

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