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Modified Hermite Polynomials for Solving Quadratic Optimal Control Problems

Suha N. Shihab, Samaa Foud

Abstract


The main purpose of this paper is the construction an explicit formula for modified Hermit function differentiation operational matrix and other new properties. Then an efficient approximate method is investigated for treating quadratic optimal control problem with the aid of the derived operation matrix. The technique essentially based on reducing the optimal problem indirectly to a system of linear algebraic equations in the expansion of unknown coefficients. The obtained numerical results are compared with the exact one.

Keywords


Hermit function, quadratic optimal control problem, differentiation operational matrix

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References


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DOI: https://doi.org/10.18282/mta.v1i1.209

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