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The Bernstein operational matrix of integration. (English) Zbl 1185.41006
Summary: An accurate method is proposed to solve problems such as identification, analysis and optimal control using the Bernstein orthonormal polynomials operational matrix of integration. The Bernstein polynomials are first orthogonalized, normalized and then their operational matrix of integration is obtained. An example is given to illustrate the proposed method.
MSC:
41A10Approximation by polynomials
49J15Optimal control problems with ODE (existence)