Optimal control of system governed by the Gao beam equation
Identifikátory výsledku
Kód výsledku v 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>
Výsledek na webu
<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>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Optimal control of system governed by the Gao beam equation
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Optimal control of system governed by the Gao beam equation
Popis výsledku anglicky
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.
Klasifikace
Druh
D - Stať ve sborníku
CEP obor
—
OECD FORD obor
10102 - Applied mathematics
Návaznosti výsledku
Projekt
—
Návaznosti
S - Specificky vyzkum na vysokych skolach
Ostatní
Rok uplatnění
2015
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název statě ve sborníku
Dynamical Systems and Differential Equations, AIMS Proceedings 2015, Proceedings of the 10th AIMS International Conference
ISBN
—
ISSN
1078-0947
e-ISSN
1553-5231
Počet stran výsledku
10
Strana od-do
783-792
Název nakladatele
American Institute of Mathematical Sciences
Místo vydání
Orlando
Místo konání akce
Madrid
Datum konání akce
7. 7. 2014
Typ akce podle státní příslušnosti
WRD - Celosvětová akce
Kód UT WoS článku
000422780300086