Hamid Tabrizidooz - Profile on Academia.edu (original) (raw)
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Papers by Hamid Tabrizidooz
Journal of the Franklin Institute, 2017
In this paper, we develop a composite collocation approximation scheme for solving optimal contro... more In this paper, we develop a composite collocation approximation scheme for solving optimal control problems governed by ordinary differential equations with piecewise smooth solutions. For this purpose, we divide the time interval of the problem into some nonequal subintervals and define a piecewise interpolating polynomial on the base of transformed Legendre-Gauss nodes in subintervals. According to the weak representations approach, we derive the corresponding operational matrix of derivative. Using the Legendre-Gauss quadrature formula and the obtained operational matrix, the optimal control problem is discretized as a nonlinear
Journal of the Franklin Institute, 2017
In this paper, we develop a composite collocation approximation scheme for solving optimal contro... more In this paper, we develop a composite collocation approximation scheme for solving optimal control problems governed by ordinary differential equations with piecewise smooth solutions. For this purpose, we divide the time interval of the problem into some nonequal subintervals and define a piecewise interpolating polynomial on the base of transformed Legendre-Gauss nodes in subintervals. According to the weak representations approach, we derive the corresponding operational matrix of derivative. Using the Legendre-Gauss quadrature formula and the obtained operational matrix, the optimal control problem is discretized as a nonlinear