University of Tabriz Computational Methods for Differential Equations 2345-3982 4 3 2016 07 01 Numerical method for solving optimal control problem of the linear differential systems with inequality constraints 230 248 5578 EN Farshid Mirzaee Faculty of Mathematical Sciences and Statistics, Malayer University, P. O. Box 65719-95863, Malayer, Iran Afsun Hamzeh Faculty of Mathematical Sciences and Statistics, Malayer University, P. O. Box 65719-95863, Malayer, Iran Journal Article 2016 10 25 In this paper, an efficient method for solving optimal control problems of the linear differential systems with inequality constraint is proposed. By using new adjustment of hat basis functions and their operational matrices of integration, optimal control problem is reduced to an optimization problem. Also, the error analysis of the proposed method is nvestigated and it is proved that the order of convergence is O(h4). Finally, numerical examples affirm the efficiency of the proposed method. https://cmde.tabrizu.ac.ir/article_5578_529738c257731433a12017966bed9308.pdf