Skip to main content
SpringerLink
Log in
Book cover

Modelling and Inverse Problems of Control for Distributed Parameter Systems pp 102–115Cite as

Exponential stabilization, via Riccati operator, of hyperbolic systems with uncontrolled, unbounded perturbations

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 154))

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. V. Balakrishnan, Applied Functional Analysis, Springer-Verlag, 1981.

    Google Scholar 

  2. F. Flandoli, "Riccati Equatins Arising in a Boundary Control Problem with Distributed Parameters", SIAM J. Contr. Opt. 22 (1984), 76–86.

    Google Scholar 

  3. F. Flandoli, I. Lasiecka, R. Triggiani, "Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli equations," Ann. Matem. Pura e Appl. Vol. CLiii (1988), 307–382.

    Google Scholar 

  4. T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag (1966), Berlin.

    Google Scholar 

  5. I. Lasiecka, "Boundary stabilization of hyperbolic and parabolic equations with non-linearly perturbed boundary conditions," J. Diff. Eq., Vol. 75 No. 1, (1988), 53–871.

    Google Scholar 

  6. I. Lagnese, J. L. Lions, Modelling Analysis and Control of Thin Plates, Masson, 1988.

    Google Scholar 

  7. I. Lasiecka, R. Triggiani, "Finite rank, relatively bounded perturbations of Cosemigroups. Part I: well posedness and boundary feedback hyperbolic dynamics," Annali Scuola Normale di Pisa, Vol Xii, No. 4, (1985).

    Google Scholar 

  8. I. Lasiecka, R. Triggiani, "Dirichlet boundary control problem for parabolic equations with quadratic cost: Analyticity and Riccati's feedback synthesis," SIAM J. Contr. Optimiz. 21, (1988), 41–68.

    Google Scholar 

  9. I. Lasiecka, R. Triggiani, "Regularity, exact controllability and uniform stabilization of Kirchhoff plates via only the bending moment," Proceedings of 28 IEEE — CDC Conference, Tampa 1989.

    Google Scholar 

  10. R. Triggiani, "Aɛ — bounded, finite rank perturbations of s.c. group generators: counterexamples to generation and to another condition for well-posedness," Lectures Notes in Mathematics #1076, Springer-Verlag 1984, pp. 227–233; Proceedings of Workshop on Operator semigroups and applications, Retzholf, Austria, June 1983.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, University of Virginia, 22903, Charlottesville, VA

    I. Lasiecka

Authors
  1. I. Lasiecka
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Alexander Kurzhanski Irena Lasiecka

Rights and permissions

Reprints and permissions

Copyright information

© 1991 International Federation for Information Processing

About this paper

Cite this paper

Lasiecka, I. (1991). Exponential stabilization, via Riccati operator, of hyperbolic systems with uncontrolled, unbounded perturbations. In: Kurzhanski, A., Lasiecka, I. (eds) Modelling and Inverse Problems of Control for Distributed Parameter Systems. Lecture Notes in Control and Information Sciences, vol 154. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0044487

Download citation

  • DOI: https://doi.org/10.1007/BFb0044487

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53583-6

  • Online ISBN: 978-3-540-46839-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation