Regional boundary observability: a numerical approach

El Hassane Zerrik; Hamid Bourray; Ali Boutoulout

International Journal of Applied Mathematics and Computer Science (2002)

  • Volume: 12, Issue: 2, page 143-151
  • ISSN: 1641-876X

Abstract

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In this paper we review the concept of regional boundary observability, developed in (Michelitti, 1976), by means of sensor structures. This leads to the so-called boundary strategic sensors. A characterization of such sensors which guarantees regional boundary observability is given. The results obtained are applied to a two-dimensional system, and various cases of sensors are considered. We also describe an approach which leads to the estimation of the initial boundary state, which is illustrated by simulations.

How to cite

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Zerrik, El Hassane, Bourray, Hamid, and Boutoulout, Ali. "Regional boundary observability: a numerical approach." International Journal of Applied Mathematics and Computer Science 12.2 (2002): 143-151. <http://eudml.org/doc/207574>.

@article{Zerrik2002,
abstract = {In this paper we review the concept of regional boundary observability, developed in (Michelitti, 1976), by means of sensor structures. This leads to the so-called boundary strategic sensors. A characterization of such sensors which guarantees regional boundary observability is given. The results obtained are applied to a two-dimensional system, and various cases of sensors are considered. We also describe an approach which leads to the estimation of the initial boundary state, which is illustrated by simulations.},
author = {Zerrik, El Hassane, Bourray, Hamid, Boutoulout, Ali},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {observability; boundary strategic sensors; regional observability; regional boundary observability},
language = {eng},
number = {2},
pages = {143-151},
title = {Regional boundary observability: a numerical approach},
url = {http://eudml.org/doc/207574},
volume = {12},
year = {2002},
}

TY - JOUR
AU - Zerrik, El Hassane
AU - Bourray, Hamid
AU - Boutoulout, Ali
TI - Regional boundary observability: a numerical approach
JO - International Journal of Applied Mathematics and Computer Science
PY - 2002
VL - 12
IS - 2
SP - 143
EP - 151
AB - In this paper we review the concept of regional boundary observability, developed in (Michelitti, 1976), by means of sensor structures. This leads to the so-called boundary strategic sensors. A characterization of such sensors which guarantees regional boundary observability is given. The results obtained are applied to a two-dimensional system, and various cases of sensors are considered. We also describe an approach which leads to the estimation of the initial boundary state, which is illustrated by simulations.
LA - eng
KW - observability; boundary strategic sensors; regional observability; regional boundary observability
UR - http://eudml.org/doc/207574
ER -

References

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  1. Amouroux M., El Jai A. and Zerrik E. (1994): Regional observabiliy of distributed parameter systems. - Int. J. Syst. Sci., Vol. 25, No. 2, pp. 301-313. Zbl0812.93015
  2. Curtain R.F. and Zwart H. (1995): An Introduction to Infinite Dimensional Linear Systems Theory. - New York: Springer. Zbl0839.93001
  3. El Jai A. and Pritchard A.J. (1988): Sensors and Actuators in Distributed Systems Analysis. - New York: Wiley. Zbl0637.93001
  4. El Jai A., Simon M.C. and Zerrik E. (1993): Regional observability and sensors structures. - Int. J. Sens. Act., Vol. 39, No. 2, pp. 95-102. 
  5. El Jai A., Zerrik E., Simon M.C. and Amouroux M. (1995): Regional observability of a thermal process. - IEEE Trans. Automat. Contr., Vol. 40, No. 3, pp. 518-521. Zbl0821.93016
  6. Fattorini H.O. (1968): Boundary control systems. - SIAM J.Cont., Vol. 6, pp. 349-388. Zbl0164.10902
  7. Gilliam D., Li Z. and Martin C. (1988): Discrete observability of the heat equation on bounded domain. - Int. J. Contr., Vol. 48, No. 2, pp. 755-780. Zbl0654.93008
  8. Kobayashi T. (1980): Discrete-time observability for distributed parameter systems. - Int. J. Contr., Vol. 31, pp. 181-193. Zbl0462.93011
  9. Lions J.L. (1988): Controlabilite exacte. - Paris: Masson. Zbl0659.49002
  10. Michelitti A.M. (1976): Perturbazione dello spettro di un opertore ellitico di tipo variazionale, in relazione ad una variazione del compo. - Ricerche di matematica, V. XXV, Fasc II (in Italian). 
  11. Zerrik E., Badraoui L. and El Jai A. (1999): Sensors and regional boundary state reconstruction of parabolic systems. - Int. J. Sens. Act., Vol. 75, pp. 102-117. 

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