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An Approximation Method for Exact Boundary Controllability of EulerBernoulli System
<?xml version="1.0" encoding="UTF-8"?> <article key="pdf/10003220" mdate="2015-11-02 00:00:00"> <author>Abdelaziz Khernane and Naceur Khelil and Leila Djerou</author> <title>An Approximation Method for Exact Boundary Controllability of EulerBernoulli System</title> <pages>746 - 751</pages> <year>2015</year> <volume>9</volume> <number>12</number> <journal>International Journal of Mathematical and Computational Sciences</journal> <ee>https://publications.waset.org/pdf/10003220</ee> <url>https://publications.waset.org/vol/108</url> <publisher>World Academy of Science, Engineering and Technology</publisher> <abstract>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.</abstract> <index>Open Science Index 108, 2015</index> </article>