Faculty of Mathematical Sciences and Statistics, Malayer University, P. O. Box 65719-95863, Malayer, Iran
Abstract
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.
Mirzaee, F., & Hamzeh, A. (2016). Numerical method for solving optimal control problem of the linear differential systems with inequality constraints. Computational Methods for Differential Equations, 4(3), 230-248.
MLA
Farshid Mirzaee; Afsun Hamzeh. "Numerical method for solving optimal control problem of the linear differential systems with inequality constraints". Computational Methods for Differential Equations, 4, 3, 2016, 230-248.
HARVARD
Mirzaee, F., Hamzeh, A. (2016). 'Numerical method for solving optimal control problem of the linear differential systems with inequality constraints', Computational Methods for Differential Equations, 4(3), pp. 230-248.
VANCOUVER
Mirzaee, F., Hamzeh, A. Numerical method for solving optimal control problem of the linear differential systems with inequality constraints. Computational Methods for Differential Equations, 2016; 4(3): 230-248.