%0 Journal Article
%T Legendre Approximations for Solving Optimal Control Problems Governed by Ordinary Differential Equations
%J International Journal of Control Science and Engineering
%@ 2168-4960
%D 2012
%I 
%R 10.5923/j.control.20120204.01
%X In this paper Legendre integral method is proposed to solve optimal control problems governed by higher order ordinary differential equations. Legendre approximation method reduced the problem to a constrained optimization problem. Penalty partial quadratic interpolation method is presented to solve the resulting constrained optimization problem. Error estimates for the Legendre approximations are derived and a technique that gives an optimal approximation of the problems is introduced. Numerical results are included to confirm the efficiency and accuracy of the method.
%K Spectral Methods
%K Legendre Polynomials
%K Optimal Control Problem
%U http://article.sapub.org/10.5923.j.control.20120204.01.html