An output controllability problem for semilinear distributed hyperbolic systems

E. Zerrik; R. Larhrissi; H. Bourray

International Journal of Applied Mathematics and Computer Science (2007)

  • Volume: 17, Issue: 4, page 437-448
  • ISSN: 1641-876X

Abstract

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The paper aims at extending the notion of regional controllability developed for linear systems cite to the semilinear hyperbolic case. We begin with an asymptotically linear system and the approach is based on an extension of the Hilbert uniqueness method and Schauder's fixed point theorem. The analytical case is then tackled using generalized inverse techniques and converted to a fixed point problem leading to an algorithm which is successfully implemented numerically and illustrated with examples.

How to cite

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Zerrik, E., Larhrissi, R., and Bourray, H.. "An output controllability problem for semilinear distributed hyperbolic systems." International Journal of Applied Mathematics and Computer Science 17.4 (2007): 437-448. <http://eudml.org/doc/207848>.

@article{Zerrik2007,
abstract = {The paper aims at extending the notion of regional controllability developed for linear systems cite to the semilinear hyperbolic case. We begin with an asymptotically linear system and the approach is based on an extension of the Hilbert uniqueness method and Schauder's fixed point theorem. The analytical case is then tackled using generalized inverse techniques and converted to a fixed point problem leading to an algorithm which is successfully implemented numerically and illustrated with examples.},
author = {Zerrik, E., Larhrissi, R., Bourray, H.},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {constrained controllability; distributed parameter systems; semilinear hyperbolic systems; fixed point},
language = {eng},
number = {4},
pages = {437-448},
title = {An output controllability problem for semilinear distributed hyperbolic systems},
url = {http://eudml.org/doc/207848},
volume = {17},
year = {2007},
}

TY - JOUR
AU - Zerrik, E.
AU - Larhrissi, R.
AU - Bourray, H.
TI - An output controllability problem for semilinear distributed hyperbolic systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2007
VL - 17
IS - 4
SP - 437
EP - 448
AB - The paper aims at extending the notion of regional controllability developed for linear systems cite to the semilinear hyperbolic case. We begin with an asymptotically linear system and the approach is based on an extension of the Hilbert uniqueness method and Schauder's fixed point theorem. The analytical case is then tackled using generalized inverse techniques and converted to a fixed point problem leading to an algorithm which is successfully implemented numerically and illustrated with examples.
LA - eng
KW - constrained controllability; distributed parameter systems; semilinear hyperbolic systems; fixed point
UR - http://eudml.org/doc/207848
ER -

References

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