How to Compensate a Spreading Disturbance for a Class of Nonlinear Systems

Afifi L., El Jai A. and Zerrik E. (2008). Analyse régionale des systèmes linéaires à paramétres distribués, Press Universitaires de Perpignan, In press.Search in Google Scholar

Afifi L., A. Chafiai and A. El Jai (2002). Regionally efficient and strategic actuators, International Journal of Systems Science 33(4): 1-12.10.1080/002077202317216884Search in Google Scholar

Bernoussi A. (2007). Spreadability and vulnerability of distributed parameter systems, International Journal of Systems Science 38(4): 305-317.10.1080/00207720601159787Search in Google Scholar

Bernoussi A. and A. El Jai, (2000). New approach of spreadability, Journal of Mathematical and Computer Modelling 31(13): 93-109.10.1016/S0895-7177(00)00114-XSearch in Google Scholar

Bernoussi A., A. El Jai and A. J. Pritchard (2001). Spreadability and evolving interfaces, International Journal of Systems Science 32(10): 1217-1232.10.1080/00207720110035246Search in Google Scholar

Bernoussi A. and M. Amharref (2003). Etalabilité-vulnérabilité, Annals of University of Craiova, Mathematics and Computer Science Series 30: 53-62. ISSN 1223-6934.Search in Google Scholar

Cholewa J. W. and T. Dłotko (2000). Global Attractors in Abstract Parabolic Problems, Cambridge University Press, London Mathematical Society.10.1017/CBO9780511526404Search in Google Scholar

Christofides P. D. (1998). Robust control of parbolic PDE Systems, Chemical Engineering Science 53: 2949-2965.10.1016/S0009-2509(98)00091-8Search in Google Scholar

Christofides P.D. and P. Daoutidis (1998). Robust control of hyperbolic PDE systems, Chemical Engineering Science 53: 85-105.10.1016/S0009-2509(97)87571-9Search in Google Scholar

Christofides P.D. (2001). Nonlinear and Robust Control of PDE Systems: Methods and Applications to Transport-Reaction Processes, Springer, Berkhäuser.10.1007/978-1-4612-0185-4Search in Google Scholar

Curtain R. F. and A.J. Pritchard (1978). Infinite Dimensional Linear Systems Theory, Springer, Berlin-Heidelberg, New York, pp. 297.Search in Google Scholar

Dautray R. F. and J. L. Lions (1984). Analyse mathématique et calcul numérique pour les sciences et les techniques, Vol. 3, Masson, Paris.Search in Google Scholar

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.Search in Google Scholar

El Jai A. and A. J. Pritchard (1986). Capteurs et actionneurs dans l'analyse des systems distribués, Masson, Paris.Search in Google Scholar

El Jai A. and K. Kassara (1994). Spreadable distributed systems. Mathematical and Computer Modelling 20(1): 47-64.Search in Google Scholar

El Jai A., M.C. Simon E. Zerrik and A.J. Pritchard (1995). Regional controllability of distributed systems, International Journal of Control 62(6): 1351-1365.10.1080/00207179508921603Search in Google Scholar

El Jai A. (2002). Analyse régionale des systémes distribués, ESAIM: Control, Optimisation and Calculus of Variations 8: 663-692.10.1051/cocv:2002054Search in Google Scholar

El Jai A. (2004). Eléments d'Analyse et de Contrôle des Systémes, Presses Universitaires de Perpignan.Search in Google Scholar

Henry D. (1981). Geometric Theory of Semilinear Parabolic Systems, Springer, New York.10.1007/BFb0089647Search in Google Scholar

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.Search in Google Scholar

Pazy A. (1983). Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York.10.1007/978-1-4612-5561-1Search in Google Scholar

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.Search in Google Scholar

Qaraai Y., A. Bernoussi and A. El Jai (2008). Protector control of distributed parameter systems, International Journal of Systems Science, submitted.Search in Google Scholar