A quadratic optimal control problem for a class of linear discrete distributed systems

Mostafa Rachik; Mustapha Lhous; Ouafa El Kahlaoui

International Journal of Applied Mathematics and Computer Science (2006)

  • Volume: 16, Issue: 4, page 431-440
  • ISSN: 1641-876X

Abstract

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A linear quadratic optimal control problem for a class of discrete distributed systems is analyzed. To solve this problem, we introduce an adequate topology and establish that optimal control can be determined though an inversion of the appropriate isomorphism. An example and a numerical approach are given.

How to cite

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Rachik, Mostafa, Lhous, Mustapha, and El Kahlaoui, Ouafa. "A quadratic optimal control problem for a class of linear discrete distributed systems." International Journal of Applied Mathematics and Computer Science 16.4 (2006): 431-440. <http://eudml.org/doc/207804>.

@article{Rachik2006,
abstract = {A linear quadratic optimal control problem for a class of discrete distributed systems is analyzed. To solve this problem, we introduce an adequate topology and establish that optimal control can be determined though an inversion of the appropriate isomorphism. An example and a numerical approach are given.},
author = {Rachik, Mostafa, Lhous, Mustapha, El Kahlaoui, Ouafa},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {discrete distributed system; linear system; Hilbert uniquenessmethod; optimal control; Hilbert uniqueness method},
language = {eng},
number = {4},
pages = {431-440},
title = {A quadratic optimal control problem for a class of linear discrete distributed systems},
url = {http://eudml.org/doc/207804},
volume = {16},
year = {2006},
}

TY - JOUR
AU - Rachik, Mostafa
AU - Lhous, Mustapha
AU - El Kahlaoui, Ouafa
TI - A quadratic optimal control problem for a class of linear discrete distributed systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2006
VL - 16
IS - 4
SP - 431
EP - 440
AB - A linear quadratic optimal control problem for a class of discrete distributed systems is analyzed. To solve this problem, we introduce an adequate topology and establish that optimal control can be determined though an inversion of the appropriate isomorphism. An example and a numerical approach are given.
LA - eng
KW - discrete distributed system; linear system; Hilbert uniquenessmethod; optimal control; Hilbert uniqueness method
UR - http://eudml.org/doc/207804
ER -

References

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