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2003 | 13 | 2 | 139-150
Tytuł artykułu

Gradient observability for diffusion systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of this paper is to study regional gradient observability for a diffusion system and the reconstruction of the state gradient without the knowledge of the state. First, we give definitions and characterizations of these new concepts and establish necessary conditions for the sensor structure in order to obtain regional gradient observability. We also explore an approach which allows for a regional gradient reconstruction. The developed method is original and leads to a numerical algorithm illustrated by simulations.
Rocznik
Tom
13
Numer
2
Strony
139-150
Opis fizyczny
Daty
wydano
2003
otrzymano
2000-10-10
poprawiono
2001-05-12
(nieznana)
2001-11-30
Twórcy
  • MACS Group, AFACS UFR Moulay Ismail University, Faculty of Sciences, Meknes, Morocco
  • MACS Group, AFACS UFR Moulay Ismail University, Faculty of Sciences, Meknes, Morocco
Bibliografia
  • Curtain R.F. and Zwart H. (1995): An Introduction to Infinite Dimensional Linear Systems Theory. - New York: Springer-Verlag.
  • Curtain R.F. and Pritchard A.J. (1978): Infinite Dimensional LinearSystems Theory. - New York: Springer.
  • Cuniasse-Langhans L. (1998): Evaluation par methode inversede la distribution des transferts de chaleur parietaux le long d'une plaque verticale en convection naturelle. - Ph.D. thesis, LETHEM INSA, Toulouse.
  • El Jai A. and Pritchard A.J. (1988): Sensors and Actuators in the Analysis of Distributed Systems. - New York: Wiley.
  • El Jai A. and El Yacoubi S. (1993): On the number of actuators in a parabolic system. - Appl. Math. Comp. Sci., Vol. 3, No. 4, pp. 673-686.
  • El Jai A., Simon M.C. and Zerrik E. (1993): Regional observability and sensor structures. - Int. J. Sens.Actuat., Vol. 39, No. 2, pp. 95-102.
  • El Jai A., Amouroux M. and Zerrik E. (1994): Regional observability of distributed systems. - Int. J. Syst.Sci., Vol. 25, No. 2, pp. 301-313.
  • Lions J.L. (1988): Contrôlabilite Exacte. - Paris: Masson.
  • Lions J.L. and Magenes E. (1968): Problemes aux Limites non Homogènes et Applications. - Paris: Dunod.
  • Sparrow E.M. (1963): On the calculation of radiant interchange between surfaces, In: Modern Developments in Heat Transfert (W. Ibele, Ed.). - New-York: Academic Press, pp. 181-212.
  • Zerrik E. (1993): Regional analysis of distributed parameter systems. - Ph.D. thesis, University MedV, Rabat, Morocco.
  • Zerrik E., Badraoui L. and El Jai A. (1999): Sensors and regional boundary state reconstruction of parabolic systems. - Sens. Actuat. J., Vol. 75, pp. 102-117.
  • Zerrik E., Boutoulout A. and Kamal A. (1999): Regional gradient controllability for parabolic systems. - Int. J.Appl. Math. Comp. Sci., Vol. 9, No. 4, pp. 767-787.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv13i2p139bwm
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