An Output Controllability Problem for Semilinear Distributed Hyperbolic Systems

Brezis H. (1993): Analyse fonctionnelle. Théorie et applications.—Paris: Masson.Search in Google Scholar

Da Prato G., Pritchard A. and Zabczyk J. (1991): On minimum energy problems.SIAM Journal on Control and Optimization, Vol. 29, pp. 209-221.10.1137/0329012Search in Google Scholar

De Souza F., J.A.M., and A.J.Pritchard (1985): Control of semilinear distributed parameter systems.Telecommunication and Control, INPE, Sao José dos Campos, Brazil, pp. 160-164.Search in Google Scholar

De Souza F. J.A.M (1985): Control of nonlinear distributed parameter systems. In: Proc. IV Coloquio de Control Automatico (Ibarra Zannatha, Ed.), Centro de investigation y Estudios Avanzados del instituto Politecnico Nacional de Mexico, Mexico, Vol. 1, pp. 37-43.Search in Google Scholar

El Jai A., Zerrik E., Simon M. C. and Pritchard A. J. (1995): Regional controllability of distributed parameter systems.International Journal of Control, Vol. 62, No. 6, pp. 1351-1365.10.1080/00207179508921603Search in Google Scholar

Fabre C., Puel J. P. and Zuazua E. (1995): Approximate controllability of the semilinear heat equation, Proceedings of the Royal Society of Edinburgh, Vol. 125 A, pp. 31-61.Search in Google Scholar

E. (1997): Null controllability of the proximate heat equation, ESAIM: Control Optimization and Calculus of Variations, Vol. 2, pp. 87-103.Search in Google Scholar

Henry D. (1981): Geometric Theory of Semilinear Parabolic Systems.10.1007/BFb0089647Search in Google Scholar

Kassara K. and El Jaï A. (1983): Algorithme pour la commande d'une classe de systèmes à paramètres répartis non linéaires.Revue marocaine d'automatique, d'informatique et de traitement de signal, Vol. 1, No. 2, pp. 95-117.Search in Google Scholar

Klamka J. (2002): Constrained exact controllability of semilinear systems.Systems and Control Letters, Vol. 47, No. 2, pp. 139-147.10.1016/S0167-6911(02)00184-6Search in Google Scholar

Klamka J. (2001): Constrained controllability of semilinear systems.Nonlinear Analysis, Vol. 47, pp. 2939-2949.10.1016/S0362-546X(01)00415-1Search in Google Scholar

Klamka J. (2000): Schauder's fixed point theorem in nonlinear controllability problem.Control and Cybernetics, Vol. 29, No. 1, pp. 153-165.Search in Google Scholar

Klamka J. (1999): Constrained controllability of dynamical systems.International Journal of Applied Mathematics and Computer Science, Vol. 9, No. 2, pp. 231-244.Search in Google Scholar

Klamka J. (1998): Controllability of second order semilinear infinite-dimensional dynamical systems.Applied Mathematics and Computer Science, Vol. 8, No. 3, pp. 459-470.Search in Google Scholar

Klamka J. (1991): Controllability of Dynamical Systems, Dordrecht: Kluwer Academic Publishers.Search in Google Scholar

Lions J.L. (1988): Contrôlabilité Exacte. Perturbations et Stabilisation des Systèmes Distribués, Tome 1, Contrôlabilité Exacte. —Paris: Masson.Search in Google Scholar

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

Zeidler E. (1990): Nonlinear Functional Analysis and Its Applications II/A. Linear Applied Functional Analysis, Springer.10.1007/978-1-4612-0981-2Search in Google Scholar

Zuazua E. (1990): Exact controllability for the semilinear wave equation.Journal de Mathématiques Pures et Appliquées, 69, pp. 1-31.Search in Google Scholar

Zeidler E. (1999): Applied Functional Analysis. Applications to Mathematical Physics.—Springer.Search in Google Scholar

Zerrik E., Bourray H. and El Jai A. (2004): Regional observability of semilinear distributed parabolic systems.International Journal of Dynamical and Control Systems, Vol. 10, No. 3, pp. 413-430.10.1023/B:JODS.0000034438.72863.caSearch in Google Scholar

Zerrik E. and Larhrissi R. (2002): Regional boundary controllability of hyperbolic systems. Numerical approach.International Journal of Dynamical and Control Systems, Vol. 8, No. 3, pp. 293-311.10.1023/A:1016373003163Search in Google Scholar

Zerrik E. and Larhrissi R. (2001): Regional Target Control of the wave Equation.International Journal of Systems Science, Vol. 32, No. 10, pp. 1233-1242.10.1080/00207720110035264Search in Google Scholar

Zerrik E., Boutoulout A. and El Jaï A. (2000): Actuators and regional boundary controllability.International Journal of Systems Science, Vol. 31, No. 1, pp. 73-82.10.1080/002077200291479Search in Google Scholar