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Exact internal controllability for shallow shells

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Abstract

The internal control problem is considered, based on the linear displacement equations of shallow shell. It is shown, with some checkable geometric conditions on control region, that the undergoing shallow shell is exactly controllable by using Hilbert uniqueness method (HUM), piecewise multiplier method and Riemannian geometry method. Then some examples are given to show the assumed geometric conditions.

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Authors and Affiliations

  1. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    Feng Shaoji & Feng Dexing

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  1. Feng Shaoji
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  2. Feng Dexing
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Correspondence to Feng Shaoji.

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Feng, S., Feng, D. Exact internal controllability for shallow shells. SCI CHINA SER F 49, 566–577 (2006). https://doi.org/10.1007/s11432-006-2012-8

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  • DOI: https://doi.org/10.1007/s11432-006-2012-8

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