Title of article
Solving Optimal Control Problems by using Hermite polynomials
Author/Authors
Yari ، Ayat ollah Department of Applied Mathematics - Faculty of Mathematical Sciences - Payame Noor University , Mirnia ، Kamal Department of Applied Mathematics - Faculty of Mathematical Sciences - University of Tabriz
Pages
16
From page
314
To page
329
Abstract
In this paper, one numerical method is presented for numerical approximation of linear constrained optimal control problems with quadratic performance index. The method with variable coefficients is based on Hermite polynomials. The properties of Hermite polynomials with the operational matrices of derivative are used to reduce optimal control problems to the solution of linear algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
Keywords
Optimal control , Hermite polynomials , Best approximating , Operational matrix of derivative
Journal title
Computational Methods for Differential Equations
Record number
2494307
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