Article
2022
·
0 citations
ON OPTIMAL CONTROL OF THE INITIAL VELOCITY OF AN EULER-BERNOULLI BEAM SYSTEM
Abstract
In this study, we consider an optimal control problem for an Euler-Bernoulli beam equation. The initial velocity of the system is given by the control function. We give sufficient conditions for the existence of a unique solution of the hyperbolic system and prove that the optimal solution for the considered optimal control problem is exists and unique. After obtaining the Frechet derivative of the cost functional via an adjoint problem, we also give an iteration algorithm for the numerical solution of the problem by using the Gradient method. Finally, we furnish some numerical examples to demonstrate the effectiveness of the result obtained.
Keywords
hyperbolic system
beam equation
frechet derivative
optimal control
BOUNDARY CONTROL
PARABOLIC EQUATIONS
STABILIZATION
VIBRATIONS
WoS Categories
Thermodynamics
Citation
- Journal
- THERMAL SCIENCE
- Year
- 2022
- Volume
- 26
- Pages
- S735-S744
- ISSN
- 0354-9836
- eISSN
- 2334-7163
- DOI
- 10.2298/TSCI22S2735E
- WoS UID
- WOS:000921231700025