Enlarged Asymptotic Compensation in Discrete Distributed Systems

L. Afifi; M. Hakam; M. Bahadi; A. El Jai

Mathematical Modelling of Natural Phenomena (2010)

  • Volume: 5, Issue: 7, page 139-144
  • ISSN: 0973-5348

Abstract

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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

How to cite

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Afifi, L., et al. Taik, A., ed. "Enlarged Asymptotic Compensation in Discrete Distributed Systems." Mathematical Modelling of Natural Phenomena 5.7 (2010): 139-144. <http://eudml.org/doc/197643>.

@article{Afifi2010,
abstract = {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},
author = {Afifi, L., Hakam, M., Bahadi, M., El Jai, A.},
editor = {Taik, A.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {enlarged asymptotic compensation; control; observation; tolerance zone; enlarged asymptotic remediability; actuators; sensors},
language = {eng},
month = {8},
number = {7},
pages = {139-144},
publisher = {EDP Sciences},
title = {Enlarged Asymptotic Compensation in Discrete Distributed Systems},
url = {http://eudml.org/doc/197643},
volume = {5},
year = {2010},
}

TY - JOUR
AU - Afifi, L.
AU - Hakam, M.
AU - Bahadi, M.
AU - El Jai, A.
AU - Taik, A.
TI - Enlarged Asymptotic Compensation in Discrete Distributed Systems
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/8//
PB - EDP Sciences
VL - 5
IS - 7
SP - 139
EP - 144
AB - 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
LA - eng
KW - enlarged asymptotic compensation; control; observation; tolerance zone; enlarged asymptotic remediability; actuators; sensors
UR - http://eudml.org/doc/197643
ER -

References

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  1. L. Afifi, A. Chafiai, A. Bel Fekih. Enlarged Exact Compensation in Distributed Systems. International Journal of Applied Mathematical Sciences, 12 (2002), No. 4, 467–477. Zbl1045.93021
  2. L. Afifi, M. Bahadi, A. Chafiai. A regional asymptotic analysis of the compensation problem in distributed systems. International Journal of Applied Mathematical Sciences, 1 (2007), No. 54, 2659–2686. Zbl1211.93107
  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, 2 (2008), No. 3, 99–137. Zbl1143.93321
  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.  Zbl0459.46014
  6. R.F. Curtain, A.J. Pritchard. Infinite dimensional linear systems theory. Lecture Notes in Control and Information Sciences, Vol. 8, Berlin, 1978.  Zbl0389.93001
  7. A. El Jai, A.J. Pritchard. Sensors and actuators in distributed systems analysis. Ellis Horwood Series in Applied Mathematics, J. Wiley, 1987.  Zbl0628.93033
  8. J.L. Lions. On the foundation of optimal control of distributed systems. Lecture Notes in Control and Information Science. Springer, 22, 1980.  Zbl0451.49009

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