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Enlarged Asymptotic Compensation in Discrete DistributedSystems

Published online by Cambridge University Press:  26 August 2010

A. Taik,
L. Afifi,
M. Hakam,
M. Bahadi and
A. El Jai
L. Afifi*
Affiliation:
Faculty of Sciences, University Hassan II Ain Chock P.O. Box 5366-Maârif, Casablanca, Morocco
M. Hakam
Affiliation:
Faculty of Sciences, University Hassan II Ain Chock P.O. Box 5366-Maârif, Casablanca, Morocco
M. Bahadi
Affiliation:
Royal Naval School Sour Jdid Boulevard, Casablanca, Morocco
A. El Jai
Affiliation:
MEPS - Theory of Systems, University of Perpignan 52, Paul Alduy Avenue, F- 66860 Perpignan Cedex
*
*Corresponding author: E-mail:larbi_afifi@yahoo.fr
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Abstract

This work concerns an enlarged analysis of the problem of asymptotic compensation for aclass of discrete linear distributed systems. We study the possibility of asymptoticcompensation of a disturbance by bringing asymptotically the observation in a giventolerance zone 𝒞. Under convenient hypothesis, we show the existence and theunicity of the optimal control ensuring this compensation and we give itscharacterization

Keywords

enlarged asymptotic compensationcontrolobservationtolerance zone

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References

Afifi, L., Chafiai, A., Bel Fekih, A.. Enlarged Exact Compensation in Distributed Systems . International Journal of Applied Mathematical Sciences, 12 (2002), No. 4, 467–477.Google Scholar
Afifi, L., Bahadi, M., Chafiai, A.. A regional asymptotic analysis of the compensation problem in distributed systems . International Journal of Applied Mathematical Sciences, 1 (2007), No. 54, 2659–2686.Google Scholar
Afifi, L., Bahadi, M., Chafiai, A., El Mizane, A.. Asymptotic compensation in discrete distributed systems: Analysis, approximations and simulations . International Journal of Applied Mathematical Sciences, 2 (2008), No. 3, 99–137.Google Scholar
L. Afifi, A. El Jai, E.H. Zerrik. SYSTEMES DYNAMIQUES II: Analyse régionale des systèmes linéaires distribués. Presses Universitaires de Perpignan, 2008.
A.V. Balakrishnan. Applied functional analysis. Springer Verlag, 1981.
R.F. Curtain, A.J. Pritchard. Infinite dimensional linear systems theory. Lecture Notes in Control and Information Sciences, Vol. 8, Berlin, 1978.
A. El Jai, A.J. Pritchard. Sensors and actuators in distributed systems analysis. Ellis Horwood Series in Applied Mathematics, J. Wiley, 1987.
J.L. Lions. On the foundation of optimal control of distributed systems. Lecture Notes in Control and Information Science. Springer, 22, 1980.