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• W3207803766 abstract "The convergence of the novel Legendre-Gauss method is established for solving a continuous optimal control problem using collocation at Legendre-Gauss points. The method allows for changes in the number of Legendre-Gauss points to meet the error tolerance. The continuous optimal control problem is first discretized into a nonlinear programming problem at Gauss collocations by the Legendre-Gauss method. Subsequently, we prove the convergence of the Legendre-Gauss algorithm under the assumption that the continuous optimal control problem has a smooth solution. Compared with those of the shooting method, the single step method, and the general pseudospectral method, the numerical example shows that the Legendre-Gauss method has higher computational efficiency and accuracy in solving the optimal control problem." @default.
• W3207803766 created "2021-10-25" @default.
• W3207803766 creator A5075136635 @default.
• W3207803766 date "2021-10-18" @default.
• W3207803766 modified "2023-10-18" @default.
• W3207803766 title "Convergence for the optimal control problems using collocation at Legendre-Gauss points" @default.
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• W3207803766 doi "https://doi.org/10.1177/01423312211043335" @default.
• W3207803766 hasPublicationYear "2021" @default.
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