Abdelaziz Khernane and Naceur Khelil and Leila Djerou
An Approximation Method for Exact Boundary Controllability of EulerBernoulli System
746 - 751
2015
9
12
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/10003220
https://publications.waset.org/vol/108
World Academy of Science, Engineering and Technology
The aim of this work is to study the numerical
implementation of the Hilbert Uniqueness Method for the exact
boundary controllability of EulerBernoulli beam equation. This study
may be difficult. This will depend on the problem under consideration
(geometry, control and dimension) and the numerical method used.
Knowledge of the asymptotic behaviour of the control governing the
system at time T may be useful for its calculation. This idea will
be developed in this study. We have characterized as a first step, the
solution by a minimization principle and proposed secondly a method
for its resolution to approximate the control steering the considered
system to rest at time T.
Open Science Index 108, 2015