Skip to main content
Have a personal or library account? Click to login
Regional control problem for distributed bilinear systems: Approach and simulations Cover

Regional control problem for distributed bilinear systems: Approach and simulations

By: ,   and    
Open Access
|Sep 2011

References

  1. Ball, J.M., Marsden, J.E. and Slemrod, M. (1982). Controllability for distributed bilinear systems,20(4): 575-597.
  2. Bradley, M.E. and Lenhart, S. (2001). Bilinear spatial control of the velocity term in a Kirchhoff plate equation,(27): 1-15.
  3. El Alami, N. (1988). Algorithms for implementation of optimal control with quadratic criterion of bilinear systems,A. Bensoussan and J.L. Lions (Eds.), Lecture Notes in Control and Information Sciences, Vol. 111, Springer-Verlag, London, pp. 432-444, (in French).
  4. El Jai, A., Simon, M.C., Zerrik, E. and Prirchard, A.J. (1995). Regional controllability of distributed parameter systems,62(6): 1351-1365.
  5. Joshi, H.R. (2005). Optimal control of the convective velocity coefficient in a parabolic problem,63 (5-7): 1383-1390.
  6. Kato, T. (1995)., Springer Verlag, Berlin/Heidelberg.
  7. Khapalov, A.Y. (2002a). Global non-negative controllability of the semilinear parabolic equation governed by bilinear control,7: 269-283.
  8. Khapalov, A.Y. (2002b) On bilinear controllability of the parabolic equation with the reaction-diffusion term satisfying Newton's,21: 1-23.
  9. Khapalov, A.Y. (2010)., Lecture Notes in Mathematics, Vol. 1995, Springer, Berlin, p. 284.
  10. Lenhart, S. and Liang, M. (2000). Bilinear optimal control for a wave equation with viscous damping,26(3): 575-595.
  11. Pazy, A. (1983)., Springer-Verlag, New York, NY.
  12. Zerrik, E., Ouzahra, M. and Ztot, K. (2004). Regional stabilization for infinite bilinear systems,151(1): 109-116.
  13. Zerrik, E. and Kamal, A. (2007). Output controllability for semi linear distributed parabolic system,13(2): 289-306.
  14. Zerrik, E., Larhrissi, R. and Bourray, H. (2007). An output controllability problem for semi linear distributed hyperbolic system,17(4): 437-448, DOI: 10.2478/v10006-007-0035-y.
DOI: https://doi.org/10.2478/v10006-011-0038-6 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 499 - 508
Published on: Sep 22, 2011
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2011 Karima Ztot, El Zerrik, Hamid Bourray, published by University of Zielona Góra
This work is licensed under the Creative Commons License.