quadratic programming problem
در نشریات گروه ریاضی-
International Journal Of Nonlinear Analysis And Applications, Volume:13 Issue: 2, Summer-Autumn 2022, PP 473 -478
In this paper, we define the dynamic programming approach to solve quadratic programming problem when the objective function can be written as the product of two linear factors with single linear constraint. An algorithm is proposed for solving such problems, we also solved the problems by simplex method to obtained the exact solution as dynamic programming technique. To demonstrate our proposed method, numerical examples are also illustrated
Keywords: Quadratic Programming Problem, Dynamic Programming Approach, Optimal Solution -
A numerical approach based on Bernstein polynomials is presented to unravel optimal control of nonlinear systems. The operational matrices of differentiation, integration and product are introduced. Then, these matrices are implemented to decrease the solution of nonlinear optimal control problem to the solution of the quadratic programming problem which can be solved with many algorithms and softwares. This method is easy to implement it with an accurate solution. Some examples are included to demonstrate the validity and applicability of the technique.
Keywords: Optimal control of nonlinear systems, Operational matrix of Bernstein polynomials, Quadratic programming problem
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