Stabilization of an Elastic Plate with Viscoelastic Boundary Conditions

Q. Zhang and B. Z. Guo
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Q. Zhang: Academy of Mathematics and System Sciences, Academia Sinica
B. Z. Guo: Academy of Mathematics and System Sciences, Academia Sinica

Journal of Optimization Theory and Applications, 2004, vol. 122, issue 3, No 11, 669-690

Abstract: Abstract The boundary control problem of an elastic thin plate with boundary viscoelasticity is formulated in the standard form of a linear infinite-dimensional systems in the energy Hilbert space. The feedback control is designed so that the input and output are collocated. The frequency-domain approach is adopted in investigating the exponential stability of the closed-loop system. Finally, by considering the boundary viscoelasticity as damping, we establish a strong stability result based on the LaSalle invariance principle and the Hömander uniqueness theorem.

Keywords: Elastic plates; boundary control; viscoelasticity; semigroups; stability (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/B:JOTA.0000042600.95607.f9

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