Enlarged Asymptotic Compensation in Discrete Distributed Systems
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 139-144.

Voir la notice de l'article provenant de la source EDP Sciences

This work concerns an enlarged analysis of the problem of asymptotic compensation for a class of discrete linear distributed systems. We study the possibility of asymptotic compensation of a disturbance by bringing asymptotically the observation in a given tolerance zone 𝒞. Under convenient hypothesis, we show the existence and the unicity of the optimal control ensuring this compensation and we give its characterization
DOI : 10.1051/mmnp/20105723

L. Afifi 1 ; M. Hakam 1 ; M. Bahadi 2 ; A. El Jai 3

1 Faculty of Sciences, University Hassan II Ain Chock P.O. Box 5366-Maârif, Casablanca, Morocco
2 Royal Naval School Sour Jdid Boulevard, Casablanca, Morocco
3 MEPS - Theory of Systems, University of Perpignan 52, Paul Alduy Avenue, F- 66860 Perpignan Cedex
@article{MMNP_2010_5_7_Supplement_a23,
     author = {L. Afifi and M. Hakam and M. Bahadi and A. El Jai},
     title = {Enlarged {Asymptotic} {Compensation} in {Discrete} {Distributed} {Systems}},
     journal = {Mathematical modelling of natural phenomena},
     pages = {139--144},
     publisher = {mathdoc},
     volume = {5},
     number = {7 Supplement},
     year = {2010},
     doi = {10.1051/mmnp/20105723},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105723/}
}
TY  - JOUR
AU  - L. Afifi
AU  - M. Hakam
AU  - M. Bahadi
AU  - A. El Jai
TI  - Enlarged Asymptotic Compensation in Discrete Distributed Systems
JO  - Mathematical modelling of natural phenomena
PY  - 2010
SP  - 139
EP  - 144
VL  - 5
IS  - 7 Supplement
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105723/
DO  - 10.1051/mmnp/20105723
LA  - en
ID  - MMNP_2010_5_7_Supplement_a23
ER  - 
%0 Journal Article
%A L. Afifi
%A M. Hakam
%A M. Bahadi
%A A. El Jai
%T Enlarged Asymptotic Compensation in Discrete Distributed Systems
%J Mathematical modelling of natural phenomena
%D 2010
%P 139-144
%V 5
%N 7 Supplement
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105723/
%R 10.1051/mmnp/20105723
%G en
%F MMNP_2010_5_7_Supplement_a23
L. Afifi; M. Hakam; M. Bahadi; A. El Jai. Enlarged Asymptotic Compensation in Discrete Distributed Systems. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 139-144. doi : 10.1051/mmnp/20105723. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105723/

[1] L. Afifi, A. Chafiai, A. Bel Fekih Enlarged Exact Compensation in Distributed Systems International Journal of Applied Mathematical Sciences 2002 467 477

[2] L. Afifi, M. Bahadi, A. Chafiai A regional asymptotic analysis of the compensation problem in distributed systems International Journal of Applied Mathematical Sciences 2007 2659 2686

[3] L. Afifi, M. Bahadi, A. Chafiai, A. El Mizane Asymptotic compensation in discrete distributed systems: Analysis, approximations and simulations International Journal of Applied Mathematical Sciences 2008 99 137

[4] L. Afifi, A. El Jai, E.H. Zerrik. SYSTEMES DYNAMIQUES II: Analyse régionale des systèmes linéaires distribués. Presses Universitaires de Perpignan, 2008.

[5] A.V. Balakrishnan. Applied functional analysis. Springer Verlag, 1981.

[6] R.F. Curtain, A.J. Pritchard. Infinite dimensional linear systems theory. Lecture Notes in Control and Information Sciences, Vol. 8, Berlin, 1978.

[7] A. El Jai, A.J. Pritchard. Sensors and actuators in distributed systems analysis. Ellis Horwood Series in Applied Mathematics, J. Wiley, 1987.

[8] J.L. Lions. On the foundation of optimal control of distributed systems. Lecture Notes in Control and Information Science. Springer, 22, 1980.

Cité par Sources :