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.

Voir la notice de l'article provenant de la source Library of Science

In this paper, the time-optimal boundary control problem for a distributed parabolic system in which time lags appear in integral form in both the state equation and the boundary condition is presented. Some particular properties of optimal control are discussed.
Keywords: time-optimal boundary control, parabolic system, time lags
Mots-clés : sterowanie optymalne czasowo, system paraboliczny, opóźnienie
@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.