Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
695144 | Automatica | 2016 | 4 Pages |
Abstract
In this note, the equivalence between differential and integral pseudospectral methods is justified from the distinctive perspective of Birkhoff interpolation for collocation at the Jacobi-Gauss and flipped Jacobi-Gauss-Radau points. Furthermore, an exact, efficient, and stable approach is presented for computing the associated pseudospectral differentiation/integration matrices even at millions of points. These new results will contribute to the deeper understanding of pseudospectral methods and their practical applications in optimal control.
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Authors
Xiaojun Tang, Zhenbao Liu, Yu Hu,