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2001 | 11 | 2 | 319-347
Tytuł artykułu

Regional detection and reconstruction of unknown internal or boundary sources

Treść / Zawartość
Warianty tytułu
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
Rocznik
Tom
11
Numer
2
Strony
319-347
Opis fizyczny
Daty
wydano
2001
otrzymano
2000-07-20
poprawiono
2001-01-03
Twórcy
autor
  • University Hassan II Ain Chock, Department of Mathematics and Computer Science, B.P. 5366-Maarif, Casablanca, Morocco
  • University of Perpignan, Systems Theory Laboratory, 52 Avenue de Villeneuve, 66860 Perpignan Cedex, France
autor
  • 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.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv11i2p319bwm
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