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Near optimal time boundary controllability for a class of hyperbolic equations

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Control Problems for Systems Described by Partial Differential Equations and Applications

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 97))

Abstract

We use propagation of singularities results to obtain essentially optimal time boundary controllability for strictly hyperbolic equations with real analytic coefficients.

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Bibliography

  1. Duistermatt, J.J. and L. Hörmander, Fourier integral Operators II, Acta Math. 128 (1972) 183–269.

    Google Scholar 

  2. Hörmander, L., Uniqueness theorems and wave front sets, C.P.A.M. 24 (1971) 79–183.

    Google Scholar 

  3. — The analysis of linear partial differential operators III, Berlin, Springer Verlag 1985.

    Google Scholar 

  4. Lagnese, J., Boundary value control of a class of hyperbolic equations in a general domain, SIAM J. Control and Optimization 15, (1977) 973–983.

    Google Scholar 

  5. Littman, W., Boundary control theory for hyperbolic and parabolic equations with constant coefficients, Annali Sc. N. Sup. Pisa Ser. IV 5, (1978) 567–580.

    Google Scholar 

  6. Ralston, J., Gaussian beams and the propagation of singularities, MAA Studies in Mathematics 23, W. Littman (Ed.) (1982) 206–248.

    Google Scholar 

  7. Russell, D.L., A unified boundary controllability theory, Studies in Applied Math., 52, (1973) 189–211.

    Google Scholar 

  8. — Controllability and stabilizability theory, SIAM Rev. 20 (1978) 639–739.

    Google Scholar 

  9. Sakamoto, R., Hyperbolic boundary value problems, Cambridge Univ. Press 1978.

    Google Scholar 

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Authors and Affiliations

  1. University of Minnesota, Minneapolis, USA

    Walter Littman

Authors
  1. Walter Littman
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Editor information

Irena Lasiecka Roberto Triggiani

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© 1987 International Federation for Information Processing

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Littman, W. (1987). Near optimal time boundary controllability for a class of hyperbolic equations. In: Lasiecka, I., Triggiani, R. (eds) Control Problems for Systems Described by Partial Differential Equations and Applications. Lecture Notes in Control and Information Sciences, vol 97. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0038763

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  • DOI: https://doi.org/10.1007/BFb0038763

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18054-8

  • Online ISBN: 978-3-540-47722-8

  • eBook Packages: Springer Book Archive

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