@article {10.3844/ajeassp.2008.104.109,
article_type = {journal},
title = {Closed Form Solution to an Optimal Control Problem by Orthogonal Polynomial Expansion },
author = {Tavallaei, Mohammad Ali and Tousi, Behrouz},
volume = {1},
number = {2},
year = {2008},
month = {Jun},
pages = {104-109},
doi = {10.3844/ajeassp.2008.104.109},
url = {https://thescipub.com/abstract/ajeassp.2008.104.109},
abstract = {In this study the use of orthogonal polynomials for obtaining a close form solution to optimal control problems with a weighed quadratic cost function, is proposed. The method consists of using the Orthogonal Polynomials for the expansion of the state variables and the control signal. This expansion results in a set of linear equations, from which the closed form solution is obtained. A numerical example is provided to demonstrate the applicability and effectiveness of the proposed method.},
journal = {American Journal of Engineering and Applied Sciences},
publisher = {Science Publications}
}