Voir la notice de l'article provenant de la source Library of Science
@article{IJAMCS_2006_16_3_a0, author = {Kowalewski, A. and Krakowiak, A.}, title = {Time-optimal boundary control of a parabolic system with time lags given in integral form}, journal = {International Journal of Applied Mathematics and Computer Science}, pages = {287--295}, publisher = {mathdoc}, volume = {16}, number = {3}, year = {2006}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IJAMCS_2006_16_3_a0/} }
TY - JOUR AU - Kowalewski, A. AU - Krakowiak, A. TI - Time-optimal boundary control of a parabolic system with time lags given in integral form JO - International Journal of Applied Mathematics and Computer Science PY - 2006 SP - 287 EP - 295 VL - 16 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IJAMCS_2006_16_3_a0/ LA - en ID - IJAMCS_2006_16_3_a0 ER -
%0 Journal Article %A Kowalewski, A. %A Krakowiak, A. %T Time-optimal boundary control of a parabolic system with time lags given in integral form %J International Journal of Applied Mathematics and Computer Science %D 2006 %P 287-295 %V 16 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/IJAMCS_2006_16_3_a0/ %G en %F IJAMCS_2006_16_3_a0
Kowalewski, A.; Krakowiak, A. Time-optimal boundary control of a parabolic system with time lags given in integral form. International Journal of Applied Mathematics and Computer Science, Tome 16 (2006) no. 3, pp. 287-295. http://geodesic.mathdoc.fr/item/IJAMCS_2006_16_3_a0/
[1] Choquet G. (1969): Lectures on Analysis. - Vol. 2, New York: W.A. Benjamin.
[2] Dunford N. and Schwartz J. (1958): Linear Operators, Vol. 1. - New York: Wiley.
[3] Knowles G. (1978): Time optimal control of parabolic systems with boundary conditions involving time delays. - J. Optim. Theory Applics., Vol. 25, No. 4, pp. 563-574.
[4] Kowalewski A. (1988): Boundary control of distributed parabolic system with boundary condition involving a timevarying lag. - Int. J. Contr., Vol. 48, No. 6, pp. 2233-2248.
[5] Kowalewski A. (1990a): Feedback control for a distributed parabolic system with boundary condition involving a timevarying lag. - IMA J. Math. Contr. Inf., Vol. 7, No. 2, pp. 143-157.
[6] Kowalewski A. (1990b): Optimal control of distributed parabolic systems involving time lags.-IMA J. Math. Contr. Inf., Vol. 7, No. 4, pp. 375-393.
[7] Kowalewski A. (1993): Optimal control of parabolic systems with time-varying lags. - IMA J. Math. Contr. Inf., Vol. 10, No. 2, pp. 113-129.
[8] Kowalewski A. (1998): Optimal control of distributed parabolic systems with multiple time-varying lags. - Int. J. Contr., Vol. 69, No. 3, pp. 361-381.
[9] Kowalewski A. (1999): Optimization of parabolic systems with deviating arguments. - Int. J. Contr., Vol. 72, No. 11, pp. 947-959.
[10] Kowalewski A. (2001): Optimal Control of Infinite Dimensional Distributed Parameter Systems with Delays. - Cracow: University of Mining and Metallurgy Press.
[11] Kowalewski A. and Duda J. (1992): On some optimal control problem for a parabolic system with boundary condition involving a time-varying lag. - IMA J. Math. Contr. Inf., Vol. 9, No. 2, pp. 131-146.
[12] Kowalewski A. and Krakowiak A.(2000): Time-optimal control of a parabolic system with time lags given in the integral form.-IMA J. Math. Contr. Inf., Vol. 17, No. 3, pp. 209-225.
[13] Lions J.L. (1971): Optimal Control Systems Governed by Partial Differential Equations. -Berlin: Springer.
[14] Lions J.L. and Magenes E. (1972): Non-Homogeneous Boundary Value Problems and Applications, Vols. 1 and 2. - Berlin: Springer.
[15] Wang P.K.C. (1975): Optimal control of parabolic systems with boundary conditions involving time delays. - SIAM J. Contr., Vol. 13, No. 2, pp. 274-293.