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Controllability of a multi-dimensional system of schrödinger equations: Application to a system of plate and beam equations

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Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 185))

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Abstract

We introduce a multidimensional system of Schrödinger equations. This system is proved to be well-posed and boundary controllable. We exhibit an application to the boundary controllability of a multi-dimensional system of plate and beam equations.

Supported by Project PB90-0245 of the “Dirección General de Investigación Científica y Técnica (MEC-ESPAÑA)” and by Eurhomogenization Project SC1 -CT91-0732 of the EEC.

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References

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Authors and Affiliations

  1. Ecole Polytechnique, URA 756, Université d’Orléans and Centre de Mathématiques appliquées, 91128, Palaiseau Cedex, France

    J. P. Puel

  2. Departamento de Matemática Aplicada, Universidad Complutense, 28040, Madrid, Spain

    E. Zuazua

Authors
  1. J. P. Puel
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  2. E. Zuazua
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Editor information

R. F. Curtain A. Bensoussan J. L. Lions

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© 1993 Springer-Verlag

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Puel, J.P., Zuazua, E. (1993). Controllability of a multi-dimensional system of schrödinger equations: Application to a system of plate and beam equations. In: Curtain, R.F., Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems. Lecture Notes in Control and Information Sciences, vol 185. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0115048

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  • DOI: https://doi.org/10.1007/BFb0115048

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56155-2

  • Online ISBN: 978-3-540-47480-7

  • eBook Packages: Springer Book Archive

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