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Sensors and boundary state reconstruction of hyperbolic systems Cover
Open Access
|Jul 2010

References

  1. Amouroux, A., El Jai, M. and Zerrik, E. (1994). Regional observability of distributed systems, International Journal of Systems Science 25(2): 301-313.10.1080/00207729408928961
  2. Avdonin, S. A. and Ivanov, S. A. (1995). Families of Exponentials. The Method of Moments in Controllability Problems for Distributed Parameter Systems, Cambridge University Press, New York, NY/London/Melbourne.
  3. Avdonin, S. A. and Ivanov, S. A. (1995). Boundary controllability problems for the wave equation in a parallelepiped, Applied Mathematic Letters 8(2): 97-102.10.1016/0893-9659(95)00019-M
  4. Avdonin, S. A., Ivanov, S. A. and Joó, I. (1995). Exponential series in the problem of initial and pointwise control of a rectangular vibrating membrane, Studia Scientiarium Mathematicarum Hungarica 30(3-4): 243-259.
  5. Curtain, R. F. and Zwart, H. (1995). An Introduction to Infinite Dimensional Linear Systems Theory, Texts in Applied Mathematics, Vol. 21, Springer-Verlag, New York, NY.
  6. Curtain, R. F. and Pritchard, A. J. (1978). Infinite Dimensional Linear Systems Theory, Springer-Verlag, New York, NY.10.1007/BFb0006761
  7. Dolecki, S. and Russel, D. (1977). A general theory of observation and control, SIAM Journal of Control 15(2): 185-220.10.1137/0315015
  8. El Jai, A. and Pritchard, A. J. (1988). Sensors and Actuators in Distributed Systems Analysis, J. Wiley, New York, NY.
  9. Kobayashi, T. (1980). Discrete-time observability for distributed parameter systems, International Journal of Control 31(1): 181-193.10.1080/00207178008961036
  10. Lions, J. L. and Magenes, E. (1968). Problèmes aux limites non homogènes et applications, Vols. 1 et 2, Dunod, Paris.
  11. Lions, J. L. (1968). Contrôle optimal des systèmes gouvernés par des équations aux dérivées partielles, Dunod, Paris.
  12. Lions, J. L. (1988). Contrôlabilité Exacte. Perturbations et Stabilisation des Systèmes Distribués, Tome 1, Contrôlabilité Exacte, Masson, Paris.
  13. Li, D., Gilliam, Z. and Martin, C. (1988). Discrete observavility of the heat equation on bounded domain, International Journal of Control 48(2): 755-780.10.1080/00207178808906208
  14. Micheletti, A. M. (1976). Perturbazione dello specttro di Un operatore ellitico di tipo variazionale, in relazione ad Una variazione del compo, Ricerche di matematica, V. XXV, Fasc. II.
  15. Zerrik, E., Bourray, H. and Boutoulout, A. (2002). Regional boundary observability, numerical approach, International Journal of Applied Mathematics and Computer Science 12(2): 143-151.
  16. Zerrik, E., Ben Hadid, S. and Bourray, H. (2007). Sensors and regional observability of hyperbolic systems, Sensors and Actuator Journal 138(2): 313-328.10.1016/j.sna.2007.05.017
DOI: https://doi.org/10.2478/v10006-010-0016-4 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 227 - 238
Published on: Jul 2, 2010
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2010 El Zerrik, Hamid Bourray, Samir Ben Hadid, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 20 (2010): Issue 2 (June 2010)