Abstract and Applied Analysis
Volume 2014, Article ID 946026, 8 pages
http://dx.doi.org/10.1155/2014/946026
The Constants in A Posteriori Error Indicator for State-Constrained Optimal Control Problems with Spectral Methods
Department of Mathematics, Linyi University, Shandong, China
Received 15 January 2014; Revised 7 April 2014; Accepted 26 April 2014; Published 19 May 2014
Academic Editor: Elena Berdysheva
Copyright © 2014 Jianwei Zhou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We employ Legendre-Galerkin spectral methods to solve state-constrained optimal control problems. The constraint on the state variable is an integration form. We choose one-dimensional case to illustrate the techniques. Meanwhile, we investigate the explicit formulae of constants within a posteriori error indicator.