Optimal control of system governed by the Gao beam equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A73581602" target="_blank" >RIV/61989592:15310/15:73581602 - isvavai.cz</a>
Result on the web
<a href="http://www.aimsciences.org/journals/pdfs.jsp?paperID=11946&mode=full" target="_blank" >http://www.aimsciences.org/journals/pdfs.jsp?paperID=11946&mode=full</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/proc.2015.0783" target="_blank" >10.3934/proc.2015.0783</a>

Result language
angličtina
Original language name
Optimal control of system governed by the Gao beam equation
Original language description
In this contribution several optimal control problems are mathematically formulated and analyzed for a nonlinear beam which was introduced in 1996 by David Y. Gao. The beam model is given by a static nonlinear fourth-order differential equation with some boundary conditions. The beam is here subjected to a vertical load and possibly to an axial tension load as well. A cost functional is constructed in such a way that the lower its value is, the better model we obtain. Both existence and uniqueness are studied for the solution to the proposed control problems along with optimality conditions. Due to the fact that analytical solution is not available for the nonlinear Gao beam, a fnite element approximation is provided for the proposed problems. Numerical results are compared with Euler-Bernoulli beam as well as the authors' previous considerations.
Czech name
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Czech description
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Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Dynamical Systems and Differential Equations, AIMS Proceedings 2015, Proceedings of the 10th AIMS International Conference
ISBN
—
ISSN
1078-0947
e-ISSN
1553-5231
Number of pages
10
Pages from-to
783-792
Publisher name
American Institute of Mathematical Sciences
Place of publication
Orlando
Event location
Madrid
Event date
Jul 7, 2014
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000422780300086

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