Title : ( A measure-theoretical approach for solving discrete optimal control problems )
Authors: Mortaza Gachpazan , اکبر هاشمی برزابادی , Ali Vahidian Kamyad ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
In this paper, a new approach for finding an approximate solution for discrete optimal control problems is introduced. In this method the problem is transformed to a continuous optimal control problem whose solution may give rise to a good approximate solution for the original problem. Then, a measure-theoretical approach is applied to solve the new problem. The method is extended to solve time-optimal problems which is governed by a nonlinear discrete system. Finally, some numerical examples are proposed.
Keywords
Discrete optimal control; Measure theory; Linear programming
@article{paperid:1010625,
author = {Gachpazan, Mortaza and اکبر هاشمی برزابادی and Vahidian Kamyad, Ali},
title = {A measure-theoretical approach for solving discrete optimal control problems},
journal = {Applied Mathematics and Computation},
year = {2006},
volume = {173},
number = {2},
month = {June},
issn = {0096-3003},
pages = {736--752},
numpages = {16},
keywords = {Discrete optimal control; Measure theory; Linear programming},
}
%0 Journal Article
%T A measure-theoretical approach for solving discrete optimal control problems
%A Gachpazan, Mortaza
%A اکبر هاشمی برزابادی
%A Vahidian Kamyad, Ali
%J Applied Mathematics and Computation
%@ 0096-3003
%D 2006
