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Title FRACTIONAL ORDER OPTIMAL CONTROL PROBLEMS VIA THE OPERATIONAL MATRICES OF BERNSTEIN POLYNOMIALS
Type JournalPaper
Keywords Fractional optimal control problem, Caputo derivative, Bernstein polynomials basis, Operational matrix.
Abstract In this paper a numerical method for solving a class of fractional optimal control problems is presented which is based on Bernstein polynomials approximation. Operational matrices of integration, differentiation, dual and product are introduced and are utilized to reduce the problem of solving a system of algebraic equations. The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique.
Researchers haleh tajadodi (Second Researcher), Hossein Jafari (First Researcher)