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Farshid Mirzaee

Farshid Mirzaee

Academic rank: Professor
ORCID: 0000-0002-1429-2548
Education: PhD.
ScopusId: 6508385954
HIndex: 34/00
Faculty: Mathematical Sciences and Statistics
Address: Faculty of Mathematical Sciences and Statistics, Department of Applied Mathematics, Malayer University, 4 Km Malayer-Arak Road, P. O. Box 65719-95863, Malayer, Iran.
Phone: +98 - 81 - 32457459

Research

Title
Numerical method for solving optimal control problem of the linear differential systems with inequality constraints
Type
JournalPaper
Keywords
Adjustment of hat basis functions, Operational matrices, Optimal control, Differential systems, Inequality constraint, Error analysis.
Year
2017
Journal computational methods for differential equations
DOI
Researchers Farshid Mirzaee

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 optimiza- tion problem. Also, the error analysis of the proposed method is investigated and it is proved that the order of convergence is O(h4). Finally, numerical examples affirm the efficiency of the proposed method.