TY - JOUR
ID - 10013
TI - Simultaneously determining the optimal control and state in an vibrating circular surface system by a discretization method
JO - Journal of Advanced Mathematical Modeling
JA - JAMM
LA - en
SN - 2251-8088
AU - Fakharzadehjahromi, Alireza
AU - Elahi, Parviz
AU - Jafarpoor, Nadimeh
AD - Department of Mathematics, Shiraz University of Technology, Shiraz, Iran
Y1 - 2011
PY - 2011
VL - 1
IS - 1
SP - 27
EP - 42
KW - Vibrating circular surface
KW - Discretization
KW - optimal control
KW - Measure
KW - Linear programming
DO -
N2 - Presenting a new method for simultaneous determination of the control and trajectory functions in an optimal control problem governed by a vibrating circular surface system, is the main purpose of this paper. First, by identifying the form of the trajectory function, doing discretization and using the properties of measure, the problem is linearized. Then, by doing some approximation steps, the nearly optimal pair of trajectory and control with the optimal value of the objective function are obtained via solving a finite linear programming problem. A numerical example is also presented.
UR - https://jamm.scu.ac.ir/article_10013.html
L1 - https://jamm.scu.ac.ir/article_10013_798db8826993aac3dc44315bf9c7a433.pdf
ER -