Regional detection and reconstruction of unknown internal or boundary sources

• Autorzy: Larbi Afifi , Abdelhaq El Jai , Malika Merry
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to study the problem of regional detection, to characterize internal or boundary regionally detectable sources and regionally spy sensors, and to establish a relationship between these sensors and regionally strategic sensors. It is shown how to reconstruct a regionally detectable internal or a boundary source from a given output, with an extension to the case when the output is affected by an observation error. Numerical results are given in the case of a diffusion system.

Słowa kluczowe

EN

detection; sources; observation; region; sensors

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: 11
• Numer: 2
• Strony: 319-347

Daty

wydano

2001

otrzymano

2000-07-20

poprawiono

2001-01-03

Twórcy

autor

Larbi Afifi

• University Hassan II Ain Chock, Department of Mathematics and Computer Science, B.P. 5366-Maarif, Casablanca, Morocco

autor

Abdelhaq El Jai

• University of Perpignan, Systems Theory Laboratory, 52 Avenue de Villeneuve, 66860 Perpignan Cedex, France

autor

Malika Merry

• University Hassan II Ain Chock, Department of Mathematics and Computer Science, B.P. 5366-Maarif, Casablanca, Morocco

Bibliografia

• Afifi L. (1994): Analyse regionale: Systèmes distribues discrets and sources et detection. - Thèse d'etat, University of Kenitra, Morocco.
• Afifi L. and El Jai A. (1994): Strategic sensors and spy sensors. - Appl. Math. Comp. Sci., Vol.4, No.4, pp.553-573.
• Afifi L., El Jai A. and Merry M. (2000): Detection and sources reconstruction in a tube. - Int. J. Syst. Sci., Vol.31, No.2, pp.149-159.
• Badraoui L., El Jai A. and Zerrik E. (1998): Sensors and regional boundary state. Reconstruction of parabolic systems. - Tech. Rep. No.1398, L.T.S., Universite de Perpignan, France, (to appear in Sensors and Actuators Journal).
• Curtain R.F. and Zwart H. (1995): An Introduction to Infinite-Dimensional Linear Systems Theory. - New York: Springer.
• Curtain R.F. and Pritchard A.J. (1978): Infinite Dimensional Linear Systems Theory. - Berlin: Springer.
• El Jai A. and Berrahmoune L. (1984): Localisation d'actionneurs frontières pour la contrôlabilite de systèmes paraboliques. - C.R. Acad. Sc. Paris.
• El Jai A. and Pritchard A.J., (1988): Sensors and Controls in the Analysis of Distributed Systems. - New York: Wiley.
• El Jai A., Pritchard A.J., Simon M.C. and Zerrik E. (1995): Regional controllability of distributed systems. - Int. J. Contr., Vol. 26, No.6, pp.1351-1365.
• El Jai A., Zerrik E. and Simon M.C. (1993): Regional observability and sensors structures. - Int. J. Sensors and Actuators, Vol.39, No.3, pp.95-102.
• Isakov M. (1998): Inverse Problems for Partial Differential Equations. - New York: Springer.
• Merry M. (2000): Detection et reconstruction de sources inconnues dans les systèmes distribues. - Ph.D. Thesis, Université Hassan II, Casablanca, Morocco.
• Rafajłowicz E. (1984a): Optimization of actuators for distributed parameter systems identification. - Problems Contr. Inform. Theory, Vol.13, No.1, pp.9-51.
• Rafajłowicz E. (1984b): Nonparametric algorithm for input signals identification in static distributed-parameter systems. - IEEE Trans. Automat. Contr., Vol. AC-29, No.7, pp.631-633.
• Uciński D. (1992): Optimal sensors location for parameter identification of distributed systems. - Appl. Math. Comp. Sci., Vol.2, No.1, pp.119-134.
• Zerrik E. (1993): Analyse regionale des systèmes distribues. - Thèse d'etat, Faculte des Sciences, Rabat, Morocco.