Geodesic
Regional observation and sensors
International Journal of Applied Mathematics and Computer Science, Tome 19 (2009) no. 1, pp. 5-14.

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The purpose of this short paper is to provide original results related to the choice of the number of sensors and their supports for general distributed parameter systems. We introduce the notion of extended sensors and we show that the observation error decreases when the support of a sensor is widened. We also show that the observation error decreases when the number of sensors increases.
Keywords: distributed parameter system, sensor, observability, observation error
Mots-clés : układ o parametrach rozłożonych, czujnik pomiarowy, obserwowalność, błąd obserwacji 
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El Jai, A.; Hamzaoui, H. Regional observation and sensors. International Journal of Applied Mathematics and Computer Science, Tome 19 (2009) no. 1, pp. 5-14. http://geodesic.mathdoc.fr/item/IJAMCS_2009_19_1_a0/

[1] Afifi, L., El Jai, A. and Zerrik, E. (2008). Analyse régionale des systèmes distribués linéaires, Presses Universitaires de Perpignan, Perpignan.

[2] Amouroux, M., El Jai, A. and Zerrik, E. (1994). Regional observability of distributed systems, International Journal of Systems Science 25(2): 301-313.

[3] Curtain, R. F. and Pritchard, A. J. (1978). Infinite Dimensional Linear Systems Theory, Springer, Berlin.

[4] El Jai, A. (1977). Sur la commande avec estimation de l'état initial d'une classe de systèmes distribués, Rairo Systems Analysis 11(4): 3-34.

[5] El Jai, A. and El Yacoubi, S. (1993). On the number of actuators in parabolic systems, International Journal of Applied Mathematics and Computer Science 3(4): 673-686.

[6] El Jai, A. and Hamzaoui, H. (2008). On actuators number in distributed systems, Sensors and Actuators (SNA6267) (A 147): 273-278.

[7] El Jai, A. and Najem, A. (1984). Optimal actuator location in a diffusion process, Lectures Notes in Control and Information Science 62, Springer-Verlag, Berlin.

[8] El Jai, A. and Pritchard, A. J. (1988). Sensors and actuators in distributed systems analysis, Ellis Horwood Series in Applied Mathematics, J.Wiley, New York, NY.

[9] El Jai, A., Pritchard, A.J., Simon, M.C. and Zerrik, E. (1995). Regional controllability of distributed parameter system, International Journal of Control 62(6): 1351-1365.

[10] El Jai, A., Zerrik, E.H., Simon, M.C. and Amouroux, M. (1995). Regional observability of a thermal process, IEEE Transactions on Automatic Control 40(3): 518-521.

[11] Korbicz, J. and Gawłowicz, P. (1990). Sensors location problem for stochastic non-linear discrete-time distributed parameter systems, Control of Distributed Parameter Systems, IFAC Symposia Series, Vol. 3, Pergamon Press, London, pp. 479-484.

[12] Micheletti, A. M. (1976). Perturbazione dello spettro di un operatore ellitico di tipo variazionale, in relazione ad una variazione del campo, Ricerche di matematica. Fasc. II 25(Fasc. II).