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2008 | 18 | 2 | 171-187
Tytuł artykułu

How to compensate a spreading disturbance for a class of nonlinear systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We consider a system which is assumed to be affected by an expanding disturbance which occurs at the initial time. The compensation of the disturbance is accomplished by extending the concept of remediability to a class of nonlinear systems. The results are implemented and illustrated with a nonlinear distributed model.
Rocznik
Tom
18
Numer
2
Strony
171-187
Opis fizyczny
Daty
wydano
2008
otrzymano
2007-04-12
poprawiono
2007-10-29
Twórcy
  • MPPRN Laboratory, B.P. 416, FST of Tangier, Morocco
  • MPPRN Laboratory, B.P. 416, FST of Tangier, Morocco
  • LAMPS/LTS, University of Perpignan 66860, France
Bibliografia
  • Afifi L., El Jai A. and Zerrik E.(2008). Analyse régionale des systèmes linéaires à paramétres distribués, Press Universitaires de Perpignan, In press.
  • Afifi L., A. Chafiai and A. El Jai (2002). Regionally efficient and strategic actuators, International Journal of Systems Science 33 (4): 1-12.
  • Bernoussi A. (2007). Spreadability and vulnerability of distributed parameter systems, International Journal of Systems Science 38(4): 305-317.
  • Bernoussi A. and A. El Jai, (2000). New approach of spreadability, Journal of Mathematical and Computer Modelling 31(13): 93-109.
  • Bernoussi A., A. El Jai and A. J. Pritchard (2001). Spreadability and evolving interfaces, International Journal of Systems Science 32(10): 1217-1232.
  • Bernoussi A. and M. Amharref (2003). Etalabilité-vulnérabilité, Annals of University of Craiova, Mathematics and Computer Science Series 30: 53-62. ISSN 1223-6934.
  • Cholewa J. W. and T. Dłotko (2000). Global Attractors in Abstract Parabolic Problems, Cambridge University Press, London Mathematical Society.
  • Christofides P. D. (1998). Robust control of parbolic PDE Systems, Chemical Engineering Science 53: 2949-2965.
  • Christofides P.D. and P. Daoutidis (1998). Robust control of hyperbolic PDE systems, Chemical Engineering Science 53: 85-105.
  • Christofides P.D. (2001). Nonlinear and Robust Control of PDE Systems: Methods and Applications to Transport-Reaction Processes, Springer, Berkhäuser.
  • Curtain R. F. and A.J. Pritchard (1978). Infinite Dimensional Linear Systems Theory, Springer, Berlin-Heidelberg, New York, pp. 297.
  • Dautray R. F. and J. L. Lions (1984). Analyse mathématique et calcul numérique pour les sciences et les techniques, Vol. 3, Masson, Paris.
  • Doubova A., E. Fernández-Cara, M. González-Burgos and E. Zuazua (2006). On the controllability of parabolic systems with a nonlinear term involving the state and the gradient, SIAM Journal on Control and Optimization 45(4): 1399-1446.
  • El Jai A. and A. J. Pritchard (1986). Capteurs et actionneurs dans l'analyse des systems distribués, Masson, Paris.
  • El Jai A. and K. Kassara (1994). Spreadable distributed systems. Mathematical and Computer Modelling 20(1): 47-64.
  • El Jai A., M.C. Simon, E. Zerrik and A.J. Pritchard (1995). Regional controllability of distributed systems, International Journal of Control 62(6): 1351-1365.
  • El Jai A. (2002). Analyse régionale des systémes distribués, ESAIM: Control, Optimisation and Calculus of Variations 8: 663-692.
  • El Jai A. (2004). Eléments d'Analyse et de Contrôle des Systémes, Presses Universitaires de Perpignan.
  • Henry D. (1981). Geometric Theory of Semilinear Parabolic Systems, Springer, New York.
  • Kassara K. and A. El Jai (1983). Algorithmes pour la commande d'une classe de systems à paramètres répartis non linéaires, Revue Marocaine d'Automatique, d'Informatique et de Traitement de Signal 1(1): 3-24.
  • Pazy A. (1983). Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York.
  • Qaraai Y., A. Bernoussi and A. El Jai (2006). Contrôle protecteur et remédiabilité, Proceedings of the 3rd International Congress on Scientific Advances in Civil and Industrial Engineering, Algeciras, Spain, pp. 107-114.
  • Qaraai Y., A. Bernoussi and A. El Jai (2008). Protector control of distributed parameter systems, International Journal of Systems Science, submitted.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv18i2p171bwm
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