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.
Jianwei Zhou. "The Constants in A Posteriori Error Indicator for State-Constrained Optimal Control Problems with Spectral Methods." Abstr. Appl. Anal. 2014 (SI10) 1 - 8, 2014. https://doi.org/10.1155/2014/946026