%0 Journal Article
%T Simultaneously determining the optimal control and state in an vibrating circular surface system by a discretization method
%J Journal of Advanced Mathematical Modeling
%I Shahid Chamran University of Ahvaz
%Z 2251-8088
%A Fakharzadehjahromi, Alireza
%A Elahi, Parviz
%A Jafarpoor, Nadimeh
%D 2011
%\ 05/22/2011
%V 1
%N 1
%P 27-42
%! Simultaneously determining the optimal control and state in an vibrating circular surface system by a discretization method
%K Vibrating circular surface
%K Discretization
%K optimal control
%K Measure
%K Linear programming
%R
%X 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.
%U https://jamm.scu.ac.ir/article_10013_798db8826993aac3dc44315bf9c7a433.pdf